info 0 ) This file contains data sets edited from files distributed with ) Introduction to Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996. (C) 1996 Springer-Verlag New York, Inc. ) ) The names of the data sets were obtained by stripping the trailing ) ".dat" from the names of the files. Here is a list of the 39 data ) sets obtained. Each data set is headed by a brief description, ) usually including a page reference to the book. ) ) airpass austres djao2 gnfp lynx strikes ) apph beer djaopc2 goals oshorts sunspots ) appi cdid djaopcf imports polio uspop ) appj cdin dowj lake respc wine ) appjk2 chaos elec lead sales ) appk chocs ex611 lres signal ) arch deaths finserv ls2 sres ) ) Files are readable in MacAnova by, say, ) ) Cmd> djaopcf <- matread("BDData.txt", "djaopcf") ) ) Edited by Christopher Bingham, kb@stat.umn.edu ) Version of 990113 airpass 144 ) Data from file airpass.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Monthly totals of international airline passengers ) from January 1949 to December 1960 (same as Series G, ) Box & Jenkins, P. 531) N = 144 112 118 132 129 121 135 148 148 136 119 104 118 115 126 141 135 125 149 170 170 158 133 114 140 145 150 178 163 172 178 199 199 184 162 146 166 171 180 193 181 183 218 230 242 209 191 172 194 196 196 236 235 229 243 264 272 237 211 180 201 204 188 235 227 234 264 302 293 259 229 203 229 242 233 267 269 270 315 364 347 312 274 237 278 284 277 317 313 318 374 413 405 355 306 271 306 315 301 356 348 355 422 465 467 404 347 305 336 340 318 362 348 363 435 491 505 404 359 310 337 360 342 406 396 420 472 548 559 463 407 362 405 417 391 419 461 472 535 622 606 508 461 390 432 apph 64 ) Data from file apph.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Annual mink trappings, dates not specified, used in Proglem 7.8 37123 34712 29619 21151 24859 25152 42375 50839 61581 61951 76231 63264 44730 31094 49452 43961 61727 60334 51404 58451 73575 74343 27708 31985 39266 44740 60429 72273 79214 79060 84244 62590 35072 36160 45600 47508 52290 110824 76503 64303 83023 40748 35396 29479 42264 58171 50815 51285 70229 76365 70407 41839 45978 47813 57620 66549 54673 55996 60053 39169 21534 17857 21788 33008 appi 64 ) Data from file appi.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Annual muskrat trappings, dates not specified, used in Proglem 7.8 224347 179075 175472 194682 292530 493952 512291 345626 258806 302267 313502 254246 177291 206020 335385 357060 509769 418370 320824 412164 618081 414173 232251 443999 703789 767896 671982 523802 583319 437121 486030 499727 478078 829034 1029296 1069183 1083067 817003 347050 380132 344878 223614 322160 574742 806103 934646 648687 674811 813159 551716 568934 701487 767741 928199 1650214 1488287 924439 1056253 695070 407472 172418 302195 749142 963597 appj 200 ) Data from file appj.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Input data series for use in Problem 10.2 6.94 3.48 5.92 5.11 7.00 2.23 5.78 5.26 5.19 4.83 4.48 5.98 4.45 5.73 6.38 2.47 7.43 2.73 5.90 5.19 5.08 4.28 3.64 6.01 3.08 5.98 5.07 6.43 3.64 6.84 1.49 7.39 2.36 5.24 4.63 6.87 2.81 6.27 4.98 3.45 4.90 4.11 5.40 6.38 3.94 4.96 6.35 2.75 6.03 4.76 3.31 5.56 5.06 4.28 3.89 7.47 3.60 8.88 1.26 7.78 2.76 9.23 2.95 6.38 4.35 5.33 5.00 4.87 6.74 3.37 6.56 3.45 4.54 4.95 4.34 3.69 7.40 3.18 6.92 3.40 7.65 3.42 5.91 3.91 6.99 2.15 7.17 3.94 3.87 7.61 3.73 5.08 6.61 1.94 6.17 5.73 4.14 5.76 3.56 5.44 4.81 5.46 5.01 3.05 6.48 6.35 3.86 5.01 6.49 3.43 7.70 2.13 8.47 2.41 5.93 4.69 5.29 6.44 5.14 5.93 3.95 5.87 4.64 7.25 5.00 5.06 4.93 6.00 5.59 6.24 3.79 4.51 6.00 4.76 5.55 4.74 5.61 6.52 5.95 4.38 5.95 5.80 4.87 6.47 4.01 5.57 6.30 3.34 6.38 4.73 4.70 6.29 1.98 6.71 5.39 5.73 5.55 5.88 4.27 4.34 4.26 4.98 3.38 6.14 5.45 5.92 2.62 7.68 3.37 3.90 7.01 1.24 9.03 1.08 7.86 0.87 9.26 1.29 7.59 3.90 4.37 6.00 3.56 5.92 4.38 6.24 6.57 3.05 6.43 4.03 5.86 4.82 2.90 5.65 5.14 3.17 6.73 4.43 3.99 4.46 appjk2 200 2 ) Data from file appjk2.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Bivariate series for used in Problem 7.7 6.94 15.21 3.48 21.13 5.92 14.14 5.11 18.22 7.00 8.74 2.23 17.33 5.78 17.10 5.26 22.20 5.19 4.44 4.83 11.62 4.48 17.50 5.98 18.59 4.45 14.77 5.73 14.63 6.38 17.16 2.47 13.44 7.43 15.63 2.73 20.99 5.90 11.98 5.19 20.13 5.08 11.90 4.28 13.94 3.64 14.06 6.01 19.71 3.08 15.73 5.98 12.79 5.07 14.12 6.43 7.77 3.64 11.03 6.84 13.36 1.49 17.36 7.39 12.82 2.36 22.16 5.24 8.83 4.63 22.66 6.87 10.65 2.81 10.72 6.27 6.77 4.98 15.73 3.45 7.26 4.90 12.82 4.11 12.38 5.40 7.26 6.38 7.90 3.94 12.11 4.96 14.56 6.35 17.11 2.75 16.15 6.03 17.12 4.76 19.97 3.31 12.36 5.56 15.92 5.06 14.00 4.28 7.05 3.89 10.19 7.47 10.78 3.60 9.21 8.88 7.36 1.26 17.01 7.78 12.14 2.76 24.86 9.23 12.34 2.95 23.49 6.38 12.76 4.35 26.97 5.33 14.95 5.00 22.94 4.87 15.88 6.74 20.30 3.37 19.13 6.56 17.26 3.45 19.99 4.54 15.76 4.95 19.82 4.34 11.09 3.69 10.70 7.40 11.71 3.18 10.65 6.92 7.61 3.40 17.73 7.65 9.71 3.42 18.58 5.91 15.04 3.91 24.44 6.99 14.33 2.15 17.18 7.17 12.21 3.94 21.90 3.87 12.28 7.61 20.73 3.73 11.76 5.08 8.82 6.61 16.89 1.94 12.58 6.17 13.63 5.73 19.38 4.14 9.80 5.76 17.85 3.56 19.01 5.44 18.91 4.81 18.88 5.46 14.20 5.01 16.58 3.05 17.32 6.48 16.85 6.35 18.32 3.86 16.11 5.01 19.17 6.49 21.18 3.43 16.17 7.70 12.02 2.13 21.46 8.47 17.35 2.41 22.76 5.93 14.03 4.69 25.30 5.29 13.46 6.44 17.17 5.14 12.98 5.93 20.27 3.95 22.75 5.87 20.75 4.64 23.21 7.25 17.67 5.00 17.24 5.06 13.78 4.93 19.22 6.00 14.90 5.59 13.06 6.24 10.99 3.79 17.73 4.51 21.11 6.00 22.43 4.76 16.87 5.55 14.56 4.74 17.60 5.61 14.45 6.52 14.89 5.95 18.00 4.38 24.21 5.95 22.95 5.80 19.59 4.87 14.67 6.47 21.08 4.01 24.71 5.57 20.18 6.30 22.18 3.34 18.08 6.38 17.29 4.73 16.30 4.70 8.69 6.29 16.46 1.98 14.26 6.71 11.23 5.39 12.90 5.73 5.82 5.55 15.13 5.88 18.50 4.27 17.66 4.34 17.37 4.26 17.78 4.98 13.96 3.38 13.89 6.14 11.98 5.45 13.02 5.92 10.64 2.62 18.09 7.68 19.92 3.37 24.02 3.90 13.62 7.01 24.69 1.24 13.59 9.03 10.97 1.08 16.25 7.86 4.93 0.87 21.28 9.26 10.00 1.29 18.47 7.59 4.75 3.90 23.36 4.37 6.40 6.00 17.65 3.56 13.67 5.92 14.15 4.38 14.16 6.24 10.63 6.57 17.78 3.05 11.99 6.43 13.65 4.03 17.64 5.86 11.00 4.82 17.07 2.90 15.07 5.65 16.24 5.14 14.92 3.17 11.62 6.73 16.75 4.43 16.54 3.99 10.82 4.46 18.45 appk 200 ) Data from file appk.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Output data series for use in Problem 10.2 15.21 21.13 14.14 18.22 8.74 17.33 17.10 22.20 4.44 11.62 17.50 18.59 14.77 14.63 17.16 13.44 15.63 20.99 11.98 20.13 11.90 13.94 14.06 19.71 15.73 12.79 14.12 7.77 11.03 13.36 17.36 12.82 22.16 8.83 22.66 10.65 10.72 6.77 15.73 7.26 12.82 12.38 7.26 7.90 12.11 14.56 17.11 16.15 17.12 19.97 12.36 15.92 14.00 7.05 10.19 10.78 9.21 7.36 17.01 12.14 24.86 12.34 23.49 12.76 26.97 14.95 22.94 15.88 20.30 19.13 17.26 19.99 15.76 19.82 11.09 10.70 11.71 10.65 7.61 17.73 9.71 18.58 15.04 24.44 14.33 17.18 12.21 21.90 12.28 20.73 11.76 8.82 16.89 12.58 13.63 19.38 9.80 17.85 19.01 18.91 18.88 14.20 16.58 17.32 16.85 18.32 16.11 19.17 21.18 16.17 12.02 21.46 17.35 22.76 14.03 25.30 13.46 17.17 12.98 20.27 22.75 20.75 23.21 17.67 17.24 13.78 19.22 14.90 13.06 10.99 17.73 21.11 22.43 16.87 14.56 17.60 14.45 14.89 18.00 24.21 22.95 19.59 14.67 21.08 24.71 20.18 22.18 18.08 17.29 16.30 8.69 16.46 14.26 11.23 12.90 5.82 15.13 18.50 17.66 17.37 17.78 13.96 13.89 11.98 13.02 10.64 18.09 19.92 24.02 13.62 24.69 13.59 10.97 16.25 4.93 21.28 10.00 18.47 4.75 23.36 6.40 17.65 13.67 14.15 14.16 10.63 17.78 11.99 13.65 17.64 11.00 17.07 15.07 16.24 14.92 11.62 16.75 16.54 10.82 18.45 arch 1000 ) Data from file arch.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Realization of ARCH(1) series with alpha_0 = 1 and alpha_1 = .5 ) described in Example 10.3.1, p. 342 -.101355e+01 -.168211e+01 .104029e+01 .985784e+00 -.131961e+01 -.803609e+00 -.288701e+01 .210878e+01 -.268281e+00 .858064e+00 .492011e+00 -.162168e+00 .941766e+00 .437785e+00 -.125363e+00 -.129451e+00 -.876922e+00 -.488898e+00 .162297e+01 -.200320e+01 .500549e+00 .250123e+00 .996765e-01 .163869e+00 .336381e+00 .902020e+00 -.528072e+00 .286300e+00 -.630887e+00 .116472e+01 -.723992e+00 -.639224e+00 -.135492e+01 -.749616e+00 -.599741e+00 -.778347e-01 .129447e+01 -.128831e+01 .187492e+01 .128856e+01 -.105468e+01 .227486e+01 .100660e+01 -.728828e+00 -.212430e+01 -.183754e+01 .984889e+00 .248686e+01 .307813e+01 -.324455e+01 .531681e+01 .150303e+01 -.828745e-01 -.842369e+00 .373040e+00 -.853078e-01 -.131759e+01 -.215189e+01 .216304e+01 .173853e+01 -.222773e+00 .102996e+01 .202383e+01 .245668e+00 .130272e+01 .174678e+01 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-.146061e+01 .177564e+00 .131656e+01 -.575915e+00 .145202e+01 -.266682e+00 .304237e+00 .837268e+00 -.845560e+00 .876428e+00 -.340793e-01 .211244e+00 -.129295e+01 -.136958e-01 .144945e+01 .146233e+01 -.121982e+00 .141006e+01 -.194658e+01 .293827e+00 -.105889e+01 .112790e+01 -.168090e+01 .197365e+01 .127172e+01 .122751e+01 .911764e+00 -.374042e+00 .165732e+00 -.631530e+00 .294220e+01 .750345e+00 -.370516e+00 -.239512e+01 .267804e+01 -.604864e+00 -.241291e+01 -.979181e+00 .865470e+00 .220248e+00 -.217549e+01 -.442862e+01 .210865e+01 .317141e+00 -.856156e+00 .155807e+01 .202851e+01 -.157761e+01 .720802e+00 .969352e+00 -.296421e-01 -.728534e+00 -.276022e+01 .139603e+01 -.167906e+01 .833093e+00 -.623889e+00 .388728e+00 -.727856e+00 -.118767e+01 .133203e+01 -.383200e+00 -.562155e-01 .761378e+00 .111559e+00 .372916e+00 -.293470e+00 -.487272e+00 -.959171e+00 -.129411e+00 .600478e+00 -.574251e+00 -.248565e+00 .131481e+01 -.471585e+00 .523057e+00 .130966e+01 -.961109e-01 -.108577e+01 .102341e+01 -.318254e+01 .391221e+01 -.701166e+00 .359187e+00 -.532470e+00 .128867e+01 .972147e+00 .177387e+01 .175425e+01 -.295058e+00 .121699e+01 .446902e+00 -.120162e+01 -.261477e+00 -.176382e+01 .304414e+00 -.187508e+01 .314134e+01 -.131981e+01 .361814e+00 .545726e+00 .217859e+01 .324916e+01 .484300e+01 .212834e+01 -.173056e+01 -.966904e-01 -.188166e+01 -.315559e+01 -.130266e+01 .163429e+01 -.106902e+01 -.141414e+01 .200784e+01 -.852353e+00 .985091e+00 -.724209e+00 -.290278e+00 .630703e+00 .110324e+01 -.429884e+00 -.169282e+01 .177031e+01 -.351252e+01 -.619086e+01 .375553e+01 .862520e+00 -.194450e+01 -.838761e+00 .559749e+00 .895351e+00 .111255e+01 .199386e+01 .125773e+01 .281536e+01 -.283505e+01 -.155344e+01 .742245e-01 .516374e+00 .575006e+00 -.320394e+00 -.414359e+00 .133187e+01 -.451644e+00 .532754e+00 -.113335e+01 .114242e+01 -.124689e+01 -.395690e+01 .404971e+01 .612643e+00 -.132552e+01 .659734e+00 -.701414e+00 .140235e+00 .952573e+00 .101574e+01 -.216414e+00 -.115530e+00 .333769e+00 .200794e+00 .359742e+00 -.126449e+01 .661820e+00 .358545e+00 -.158779e+01 -.418693e+00 .204828e+00 .405402e+00 -.408919e+00 .223308e+00 -.149832e+00 .462735e+00 .401567e+00 .722905e+00 -.279562e+01 -.159374e+01 .194127e+01 -.437355e-01 .228941e+00 -.779973e+00 -.466008e-01 -.106307e+01 -.242745e+01 -.636204e+00 -.362164e+00 -.130303e-01 .812186e-01 -.136896e+00 .771771e+00 .183594e+01 .122216e+01 .805695e+00 -.139671e+01 .167787e+01 .145181e+01 .524829e+00 .814892e+00 -.227874e+01 .117061e+01 -.531388e+00 .662690e+00 -.892017e+00 -.833641e+00 .582395e+00 -.197242e+01 -.308687e+01 -.187365e+01 -.166649e+01 .760768e+00 -.943844e+00 -.109563e+01 .137607e+01 .131230e+01 .133436e+01 .109487e+01 .105241e+01 -.158577e+01 -.741937e+00 -.627794e+00 -.340383e+00 .367945e+00 -.137825e+01 -.669322e+00 -.161907e+01 .326524e+01 -.738711e+00 .387241e+00 -.379716e+00 -.331257e-01 -.102971e+01 -.853045e+00 -.252414e+01 .911400e+00 .255343e+01 .134065e+00 -.120104e+01 .318673e+01 -.238834e+01 .144584e+01 .162266e+01 -.200512e+01 -.225879e+01 .120713e+01 -.860496e+00 .152866e+00 .886302e+00 .233703e+01 .143923e+01 -.146302e+01 .155576e+01 -.325737e+00 -.976514e+00 .866765e+00 -.136835e+01 .277734e+00 .793583e+00 .107568e+01 -.142610e+01 -.495349e-01 .113704e+01 -.205124e+01 .836473e+00 -.804186e+00 .214042e+00 .455257e+00 .862144e+00 -.540252e+00 .112192e+01 -.155053e+01 .166065e+01 -.141436e+01 -.897396e+00 -.182754e+01 .105914e+01 -.144579e+00 -.153263e+01 .784999e+00 .631227e+00 -.711558e+00 -.317008e+00 -.993093e+00 .300972e+00 -.733670e+00 -.133602e+00 -.166926e+00 -.104232e+01 -.157257e+01 .137978e+01 -.123566e+01 .241093e+01 .679307e+00 .391375e+00 .136457e+01 .156092e+01 .821067e+00 .118552e+01 -.794165e+00 .446200e+00 -.149299e-02 .400099e+00 .111173e+01 -.213241e+01 .397847e+01 -.603017e-02 -.220140e+01 .274695e+01 -.909939e+00 -.643260e+00 -.238908e+01 .220678e+01 -.703736e+00 .824608e+00 .729900e-01 .944964e+00 .178024e+01 .345878e+00 .207236e+00 -.134423e+01 .426624e+00 .825611e+00 .101265e+01 .136144e+00 -.128815e+01 .310254e+00 -.648467e+00 -.158362e+01 .666539e+00 -.238064e+00 .319676e+00 .533691e+00 -.106481e+01 .106517e+01 .185494e+01 .167049e+01 -.138413e+01 .417753e+00 .618208e+00 .649218e+00 -.362160e-01 -.657296e+00 .489892e+00 .235571e+01 .168055e+01 .217502e+01 .907440e+00 .161488e+01 .160313e+01 .128541e+01 -.162709e+01 .113326e+01 -.108752e+01 .118979e+01 .110771e+01 -.206884e+01 .102273e+01 .935369e+00 .131134e-01 -.139893e+01 -.365049e+00 .382829e+00 -.208873e+00 -.660365e+00 -.777735e+00 -.915025e+00 -.133827e+01 .155411e+01 .325730e+00 -.257418e+00 .485903e+00 -.142031e+01 .141975e+01 .230799e+01 -.232879e+01 -.292825e+01 -.406412e+01 -.154767e+01 -.231691e+01 .177471e+01 -.340313e-01 .586505e+00 .538159e+00 .637767e+00 .364852e+00 -.557468e+00 -.120926e+01 .968944e+00 -.145529e+00 -.917163e+00 .126199e+01 .171166e+01 .558570e+00 -.314850e+00 .978664e+00 .324043e+00 -.576933e-01 .239096e+00 -.719845e+00 .161289e+00 -.555689e+00 .483858e+00 -.599451e+00 .409633e+00 -.410495e-01 .775547e+00 .438002e-01 .487270e+00 -.176212e+01 -.957101e+00 -.777814e-02 .153160e+01 .890646e+00 .121747e+01 -.139567e+01 .119337e+01 .122302e+01 .354468e+00 .216048e+01 -.110011e+00 -.412332e+00 .121550e+01 .108504e+01 -.456160e+00 .134194e+01 -.313764e+00 .144153e+00 -.223130e+00 .143922e+01 -.261954e+01 -.353979e+01 .192340e+01 -.386456e+00 .171236e+01 .262146e+01 -.190398e+00 -.208156e+00 -.404361e+00 -.255735e+01 .368302e+00 .157282e+01 .142158e+01 -.719473e+00 .168613e+01 -.122460e+01 .342563e+00 .190953e+00 .261754e+00 -.315637e+00 -.114546e+01 .405397e-01 -.247909e+00 .538315e+00 .991627e+00 .170741e+01 -.381128e+00 .336484e+01 .234813e+00 -.112097e+01 -.701615e+00 -.557603e-01 .439024e+00 .219432e+00 -.436027e+00 .153772e+01 .233747e+00 .244548e+01 -.197738e+01 .159221e+01 .188610e+01 -.306090e+01 .400916e+00 -.179270e+00 .778021e+00 .119380e+01 .322269e+00 -.841754e+00 -.201030e+00 -.740376e+00 -.373996e+00 .192656e+01 .214720e+01 .174092e+01 -.263356e+01 -.779062e+00 -.317441e+00 .136667e+01 -.157611e+01 .241022e+01 .237175e+01 .216215e+01 .192325e+00 -.182642e+01 -.133890e+01 -.676456e+00 .156236e+01 .380462e+00 .894430e-01 -.224363e-01 -.180275e+00 .953843e+00 -.124598e+01 .622927e+00 .870172e+00 -.644725e+00 -.310258e+00 .103382e+01 .100697e+01 -.126357e+01 .104453e+01 -.114647e+01 .101972e+00 -.122713e+01 .784379e-01 -.135826e+01 -.217017e+01 -.567233e+00 .195039e+01 -.299332e+01 .535105e+01 .423388e+01 -.718369e+00 -.488591e+00 .504523e+00 -.530991e+00 .198784e+00 .393453e+00 -.453050e+00 .196249e+01 -.356562e+01 .230134e+01 .165581e+01 -.109676e+01 .934414e+00 -.125115e+01 -.613446e+00 -.705860e+00 -.973277e+00 austres 89 3 ) Data from file austres.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Australia - Estimated resident population, thousand persons ) Jun 1971 - Jun 1993, N = 89 (from information in file) ) Example 10.5.1, p. 350 describes it as March 1971 through March 1994 ) which would have N = 93 observations. Fig. 10-10 appears to ) plot 88 differences ) Col. 1 Year ) Col. 2 Quarter (1 = Mar, 2 = Jun, 3 = Sep, 4 = Dec) ) Col. 3 Estimated resident population (1000's) 1971 2 13067.3 1971 3 13130.5 1971 4 13198.4 1972 1 13254.2 1972 2 13303.7 1972 3 13353.9 1972 4 13409.3 1973 1 13459.2 1973 2 13504.5 1973 3 13552.6 1973 4 13614.3 1974 1 13669.5 1974 2 13722.6 1974 3 13772.1 1974 4 13832.0 1975 1 13862.6 1975 2 13893.0 1975 3 13926.8 1975 4 13968.9 1976 1 14004.7 1976 2 14033.1 1976 3 14066.0 1976 4 14110.1 1977 1 14155.6 1977 2 14192.2 1977 3 14231.7 1977 4 14281.5 1978 1 14330.3 1978 2 14359.3 1978 3 14396.6 1978 4 14430.8 1979 1 14478.4 1979 2 14515.7 1979 3 14554.9 1979 4 14602.5 1980 1 14646.4 1980 2 14695.4 1980 3 14746.6 1980 4 14807.4 1981 1 14874.4 1981 2 14923.3 1981 3 14988.7 1981 4 15054.1 1982 1 15121.7 1982 2 15184.2 1982 3 15239.3 1982 4 15288.9 1983 1 15346.2 1983 2 15393.5 1983 3 15439.0 1983 4 15483.5 1984 1 15531.5 1984 2 15579.4 1984 3 15628.5 1984 4 15677.3 1985 1 15736.7 1985 2 15788.3 1985 3 15839.7 1985 4 15900.6 1986 1 15961.5 1986 2 16018.3 1986 3 16076.9 1986 4 16139.0 1987 1 16203.0 1987 2 16263.3 1987 3 16327.9 1987 4 16398.9 1988 1 16478.3 1988 2 16538.2 1988 3 16621.6 1988 4 16697.0 1989 1 16777.2 1989 2 16833.1 1989 3 16891.6 1989 4 16956.8 1990 1 17026.3 1990 2 17085.4 1990 3 17106.9 1990 4 17169.4 1991 1 17239.4 1991 2 17292.0 1991 3 17354.2 1991 4 17414.2 1992 1 17447.3 1992 2 17482.6 1992 3 17526.0 1992 4 17568.7 1993 1 17627.1 1993 2 17661.5 beer 422 3 ) Data from file beer.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Monthly beer production, Australia in Megalitres ) Includes ale and stout. Does not include beverages with ) alcohol percentage less than 1.15. ) Jan. 1956 - February 1991 ) Used in problems 6.9, 6.10, p. 215 ) Col. 1 Year ) Col. 2 Month (1 = Jan, ..., 12 = Dec) ) Col. 3: beer production 1956 1 93.2 1956 2 96.0 1956 3 95.2 1956 4 77.1 1956 5 70.9 1956 6 64.8 1956 7 70.1 1956 8 77.3 1956 9 79.5 1956 10 100.6 1956 11 100.7 1956 12 107.1 1957 1 95.9 1957 2 82.8 1957 3 83.3 1957 4 80.0 1957 5 80.4 1957 6 67.5 1957 7 75.7 1957 8 71.1 1957 9 89.3 1957 10 101.1 1957 11 105.2 1957 12 114.1 1958 1 96.3 1958 2 84.4 1958 3 91.2 1958 4 81.9 1958 5 80.5 1958 6 70.4 1958 7 74.8 1958 8 75.9 1958 9 86.3 1958 10 98.7 1958 11 100.9 1958 12 113.8 1959 1 89.8 1959 2 84.4 1959 3 87.2 1959 4 85.6 1959 5 72.0 1959 6 69.2 1959 7 77.5 1959 8 78.1 1959 9 94.3 1959 10 97.7 1959 11 100.2 1959 12 116.4 1960 1 97.1 1960 2 93.0 1960 3 96.0 1960 4 80.5 1960 5 76.1 1960 6 69.9 1960 7 73.6 1960 8 92.6 1960 9 94.2 1960 10 93.5 1960 11 108.5 1960 12 109.4 1961 1 105.1 1961 2 92.5 1961 3 97.1 1961 4 81.4 1961 5 79.1 1961 6 72.1 1961 7 78.7 1961 8 87.1 1961 9 91.4 1961 10 109.9 1961 11 116.3 1961 12 113.0 1962 1 100.0 1962 2 84.8 1962 3 94.3 1962 4 87.1 1962 5 90.3 1962 6 72.4 1962 7 84.9 1962 8 92.7 1962 9 92.2 1962 10 114.9 1962 11 112.5 1962 12 118.3 1963 1 106.0 1963 2 91.2 1963 3 96.6 1963 4 96.3 1963 5 88.2 1963 6 70.2 1963 7 86.5 1963 8 88.2 1963 9 102.8 1963 10 119.1 1963 11 119.2 1963 12 125.1 1964 1 106.1 1964 2 102.1 1964 3 105.2 1964 4 101.0 1964 5 84.3 1964 6 87.5 1964 7 92.7 1964 8 94.4 1964 9 113.0 1964 10 113.9 1964 11 122.9 1964 12 132.7 1965 1 106.9 1965 2 96.6 1965 3 127.3 1965 4 98.2 1965 5 100.2 1965 6 89.4 1965 7 95.3 1965 8 104.2 1965 9 106.4 1965 10 116.2 1965 11 135.9 1965 12 134.0 1966 1 104.6 1966 2 107.1 1966 3 123.5 1966 4 98.8 1966 5 98.6 1966 6 90.6 1966 7 89.1 1966 8 105.2 1966 9 114.0 1966 10 122.1 1966 11 138.0 1966 12 142.2 1967 1 116.4 1967 2 112.6 1967 3 123.8 1967 4 103.6 1967 5 113.9 1967 6 98.6 1967 7 95.0 1967 8 116.0 1967 9 113.9 1967 10 127.5 1967 11 131.4 1967 12 145.9 1968 1 131.5 1968 2 131.0 1968 3 130.5 1968 4 118.9 1968 5 114.3 1968 6 85.7 1968 7 104.6 1968 8 105.1 1968 9 117.3 1968 10 142.5 1968 11 140.0 1968 12 159.8 1969 1 131.2 1969 2 125.4 1969 3 126.5 1969 4 119.4 1969 5 113.5 1969 6 98.7 1969 7 114.5 1969 8 113.8 1969 9 133.1 1969 10 143.4 1969 11 137.3 1969 12 165.2 1970 1 126.9 1970 2 124.0 1970 3 135.7 1970 4 130.0 1970 5 109.4 1970 6 117.8 1970 7 120.3 1970 8 121.0 1970 9 132.3 1970 10 142.9 1970 11 147.4 1970 12 175.9 1971 1 132.6 1971 2 123.7 1971 3 153.3 1971 4 134.0 1971 5 119.6 1971 6 116.2 1971 7 118.6 1971 8 130.7 1971 9 129.3 1971 10 144.4 1971 11 163.2 1971 12 179.4 1972 1 128.1 1972 2 138.4 1972 3 152.7 1972 4 120.0 1972 5 140.5 1972 6 116.2 1972 7 121.4 1972 8 127.8 1972 9 143.6 1972 10 157.6 1972 11 166.2 1972 12 182.3 1973 1 153.1 1973 2 147.6 1973 3 157.7 1973 4 137.2 1973 5 151.5 1973 6 98.7 1973 7 145.8 1973 8 151.7 1973 9 129.4 1973 10 174.1 1973 11 197.0 1973 12 193.9 1974 1 164.1 1974 2 142.8 1974 3 157.9 1974 4 159.2 1974 5 162.2 1974 6 123.1 1974 7 130.0 1974 8 150.1 1974 9 169.4 1974 10 179.7 1974 11 182.1 1974 12 194.3 1975 1 161.4 1975 2 169.4 1975 3 168.8 1975 4 158.1 1975 5 158.5 1975 6 135.3 1975 7 149.3 1975 8 143.4 1975 9 142.2 1975 10 188.4 1975 11 166.2 1975 12 199.2 1976 1 182.7 1976 2 145.2 1976 3 182.1 1976 4 158.7 1976 5 141.6 1976 6 132.6 1976 7 139.6 1976 8 147.0 1976 9 166.6 1976 10 157.0 1976 11 180.4 1976 12 210.2 1977 1 159.8 1977 2 157.8 1977 3 168.2 1977 4 158.4 1977 5 152.0 1977 6 142.2 1977 7 137.2 1977 8 152.6 1977 9 166.8 1977 10 165.6 1977 11 198.6 1977 12 201.5 1978 1 170.7 1978 2 164.4 1978 3 179.7 1978 4 157.0 1978 5 168.0 1978 6 139.3 1978 7 138.6 1978 8 153.4 1978 9 138.9 1978 10 172.1 1978 11 198.4 1978 12 217.8 1979 1 173.7 1979 2 153.8 1979 3 175.6 1979 4 147.1 1979 5 160.3 1979 6 135.2 1979 7 148.8 1979 8 151.0 1979 9 148.2 1979 10 182.2 1979 11 189.2 1979 12 183.1 1980 1 170.0 1980 2 158.4 1980 3 176.1 1980 4 156.2 1980 5 153.2 1980 6 117.9 1980 7 149.8 1980 8 156.6 1980 9 166.7 1980 10 156.8 1980 11 158.6 1980 12 210.8 1981 1 203.6 1981 2 175.2 1981 3 168.7 1981 4 155.9 1981 5 147.3 1981 6 137.0 1981 7 141.1 1981 8 167.4 1981 9 160.2 1981 10 191.9 1981 11 174.4 1981 12 208.2 1982 1 159.4 1982 2 161.1 1982 3 172.1 1982 4 158.4 1982 5 114.6 1982 6 159.6 1982 7 159.7 1982 8 159.4 1982 9 160.7 1982 10 165.5 1982 11 205.0 1982 12 205.2 1983 1 141.6 1983 2 148.1 1983 3 184.9 1983 4 132.5 1983 5 137.3 1983 6 135.5 1983 7 121.7 1983 8 166.1 1983 9 146.8 1983 10 162.8 1983 11 186.8 1983 12 185.5 1984 1 151.5 1984 2 158.1 1984 3 143.0 1984 4 151.2 1984 5 147.6 1984 6 130.7 1984 7 137.5 1984 8 146.1 1984 9 133.6 1984 10 167.9 1984 11 181.9 1984 12 202.0 1985 1 166.5 1985 2 151.3 1985 3 146.2 1985 4 148.3 1985 5 144.7 1985 6 123.6 1985 7 151.6 1985 8 133.9 1985 9 137.4 1985 10 181.6 1985 11 182.0 1985 12 190.0 1986 1 161.2 1986 2 155.5 1986 3 141.9 1986 4 164.6 1986 5 136.2 1986 6 126.8 1986 7 152.5 1986 8 126.6 1986 9 150.1 1986 10 186.3 1986 11 147.5 1986 12 200.4 1987 1 177.2 1987 2 127.4 1987 3 177.1 1987 4 154.4 1987 5 135.2 1987 6 126.4 1987 7 147.3 1987 8 140.6 1987 9 152.3 1987 10 151.2 1987 11 172.2 1987 12 215.3 1988 1 154.1 1988 2 159.3 1988 3 160.4 1988 4 151.9 1988 5 148.4 1988 6 139.6 1988 7 148.2 1988 8 153.5 1988 9 145.1 1988 10 183.7 1988 11 210.5 1988 12 203.3 1989 1 153.3 1989 2 144.3 1989 3 169.6 1989 4 143.7 1989 5 160.0 1989 6 135.5 1989 7 141.7 1989 8 159.9 1989 9 145.6 1989 10 183.4 1989 11 198.1 1989 12 186.7 1990 1 171.9 1990 2 150.5 1990 3 163.0 1990 4 153.6 1990 5 152.8 1990 6 135.4 1990 7 148.3 1990 8 148.3 1990 9 133.5 1990 10 193.8 1990 11 208.4 1990 12 197.0 1991 1 164.0 1991 2 148.0 cdid 60 ) Data from file cdid.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Data used in problem 10.2, p. 352 226.8 -180.2 250.8 469.8 -161.2 215.8 -289.2 -616.2 -0.2 -81.2 -213.2 304.8 -251.2 53.8 270.8 -984.2 -1383.2 -1151.2 -643.2 -433.2 -379.2 -894.2 -1334.2 -860.2 -355.2 -393.2 -466.2 9.8 -380.2 -222.2 -99.2 -385.2 215.8 -95.2 -53.2 -210.2 -266.2 -384.2 -617.2 -424.2 -793.2 -418.2 -371.2 -676.2 -363.2 -329.2 -33.2 -278.2 -422.2 -206.2 -371.2 89.8 -893.2 -1235.2 -1331.2 -1749.2 -270.2 -193.2 -95.2 286.8 cdin 60 ) Data from file cdin.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Input series vector(rep(0,15),rep(1,45)) rferenced in intervention ) analysis example 10.2.1, p. 333 which describes it erroneously as ) having 16 zeros. 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 chaos 200 ) Data from file chaos.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Chaotic sequence generated by logistic sequence following the ) formula x[t] = 4*x[t-1]*(1 - x[t-1], with x[0] = PI/10 ) See example 10.3.2, p. 337 0.861852885 0.476249957 0.997743742 0.009004670 0.035694342 0.137681025 0.474899840 0.997479928 0.010054885 0.039815139 0.152919574 0.518140711 0.998683658 0.005258436 0.020923138 0.081941440 0.300908161 0.841449759 0.533648248 0.995471182 0.018033233 0.070832142 0.263259800 0.775816311 0.695701451 0.846803769 0.518908583 0.998569862 0.005712371 0.022718960 0.088811235 0.323695199 0.875666469 0.435498818 0.983358390 0.065458668 0.244695322 0.739278086 0.770983989 0.706270710 0.829809577 0.564902573 0.983150624 0.066261897 0.247485033 0.744944766 0.760008247 0.729582847 0.789166866 0.665530096 0.890399150 0.390354015 0.951911032 0.183105677 0.598311952 0.961339040 0.148665160 0.506255321 0.999843484 0.000625967 0.002502299 0.009984151 0.039537870 0.151898506 0.515301400 0.999063469 0.003742617 0.014914440 0.058767999 0.221257285 0.689209995 0.856798312 0.490779859 0.999659956 0.001359714 0.005431459 0.021607833 0.084563738 0.309650850 0.855068805 0.495704576 0.999926197 0.000295189 0.001180407 0.004716055 0.018775255 0.073690981 0.273042482 0.793961140 0.654347394 0.904707528 0.344847267 0.903710517 0.348071273 0.907670647 0.335218573 0.891388325 0.387260716 0.949159415 0.193023279 0.623061171 0.939423793 0.227626920 0.703251622 0.834755112 0.551756059 0.989285241 0.042399810 0.162408264 0.544127279 0.992211133 0.030912803 0.119828805 0.421879450 0.975588719 0.095261483 0.344746932 0.903585940 0.348473557 0.908158948 0.333625092 0.889277559 0.393851927 0.954930347 0.172153519 0.570066739 0.980362608 0.077007058 0.284307885 0.813907647 0.605847957 0.955184840 0.171227047 0.567633381 0.981702903 0.071849252 0.266747748 0.782373549 0.681060716 0.868868068 0.455745393 0.992166119 0.031090044 0.120493814 0.423900220 0.976835294 0.090512410 0.329279654 0.883418254 0.411961771 0.968997081 0.120166952 0.422907422 0.976226938 0.092831615 0.336855624 0.893535650 0.380518769 0.942896941 0.215369197 0.675941225 0.876178742 0.433958217 0.982553931 0.068566813 0.255461621 0.760803925 0.727925250 0.792200321 0.658475890 0.899541570 0.361466136 0.923233474 0.283493705 0.812500097 0.609374757 0.952148650 0.182246393 0.596130580 0.963035646 0.142391961 0.488465963 0.999467864 0.002127412 0.008491543 0.033677746 0.130174223 0.452915580 0.991132230 0.035156532 0.135682202 0.469090168 0.996178329 0.015228263 0.059985451 0.225548785 0.698706123 0.842063507 0.531970229 0.995911618 chocs 404 3 ) Data from file chocs.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Chocolate-based confectionery production ) Monthly production in tonnes. ) July 1957 to February 1991 ) Not referenced in index ) Col. 1: Month (1 = Jan, ..., 12 = Dec) ) Col. 2: Year (1957-1991) ) Col. 3: Monthly production of Chocolate-based confectionery (tonnes) 7 1957 2953 8 1957 2635 9 1957 2404 10 1957 2413 11 1957 2136 12 1957 1565 1 1958 1451 2 1958 2037 3 1958 2477 4 1958 2785 5 1958 2994 6 1958 2681 7 1958 3098 8 1958 2708 9 1958 2517 10 1958 2445 11 1958 2087 12 1958 1801 1 1959 1216 2 1959 2173 3 1959 2286 4 1959 3121 5 1959 3458 6 1959 3511 7 1959 3524 8 1959 2767 9 1959 2744 10 1959 2603 11 1959 2527 12 1959 1846 1 1960 1066 2 1960 2327 3 1960 3066 4 1960 3048 5 1960 3806 6 1960 4042 7 1960 3583 8 1960 3438 9 1960 2957 10 1960 2885 11 1960 2744 12 1960 1837 1 1961 1447 2 1961 2504 3 1961 3248 4 1961 3098 5 1961 4318 6 1961 3561 7 1961 3316 8 1961 3379 9 1961 2717 10 1961 2354 11 1961 2445 12 1961 1542 1 1962 1606 2 1962 2590 3 1962 3588 4 1962 3202 5 1962 4704 6 1962 4005 7 1962 3810 8 1962 3488 9 1962 2781 10 1962 2944 11 1962 2817 12 1962 1960 1 1963 1937 2 1963 2903 3 1963 3357 4 1963 3552 5 1963 4581 6 1963 3905 7 1963 4581 8 1963 4037 9 1963 3345 10 1963 3175 11 1963 2808 12 1963 2050 1 1964 1719 2 1964 3143 3 1964 3756 4 1964 4776 5 1964 4540 6 1964 4309 7 1964 4563 8 1964 3506 9 1964 3665 10 1964 3361 11 1964 3094 12 1964 2440 1 1965 1633 2 1965 2935 3 1965 4159 4 1965 4159 5 1965 4894 6 1965 4921 7 1965 4577 8 1965 4155 9 1965 3851 10 1965 3429 11 1965 3370 12 1965 2726 1 1966 1674 2 1966 3257 3 1966 4731 4 1966 4481 5 1966 5443 6 1966 5566 7 1966 5044 8 1966 4781 9 1966 4014 10 1966 3561 11 1966 3801 12 1966 2685 1 1967 1805 2 1967 3756 3 1967 4227 4 1967 4595 5 1967 5702 6 1967 4681 7 1967 4395 8 1967 4459 9 1967 4191 10 1967 3742 11 1967 3279 12 1967 2468 1 1968 1742 2 1968 3366 3 1968 3633 4 1968 3701 5 1968 4926 6 1968 4522 7 1968 5275 8 1968 4717 9 1968 4114 10 1968 3851 11 1968 3493 12 1968 2654 1 1969 2168 2 1969 3561 3 1969 4305 4 1969 4413 5 1969 5307 6 1969 5361 7 1969 4948 8 1969 4472 9 1969 3846 10 1969 3715 11 1969 3343 12 1969 2939 1 1970 1615 2 1970 3497 3 1970 3915 4 1970 4858 5 1970 4962 6 1970 4504 7 1970 4767 8 1970 4291 9 1970 4091 10 1970 4164 11 1970 3915 12 1970 3130 1 1971 1696 2 1971 3887 3 1971 4749 4 1971 4781 5 1971 5089 6 1971 5484 7 1971 5072 8 1971 4611 9 1971 4117 10 1971 3910 11 1971 4252 12 1971 3624 1 1972 1678 2 1972 3851 3 1972 5021 4 1972 4581 5 1972 6195 6 1972 5338 7 1972 4909 8 1972 4640 9 1972 3706 10 1972 4113 11 1972 3879 12 1972 3411 1 1973 2043 2 1973 3736 3 1973 4490 4 1973 3715 5 1973 5623 6 1973 4671 7 1973 5591 8 1973 5461 9 1973 4795 10 1973 4846 11 1973 4843 12 1973 3278 1 1974 2411 2 1974 4278 3 1974 4639 4 1974 4559 5 1974 6404 6 1974 4851 7 1974 6480 8 1974 6394 9 1974 5752 10 1974 4718 11 1974 4659 12 1974 3842 1 1975 2873 2 1975 5556 3 1975 5389 4 1975 6135 5 1975 6707 6 1975 5220 7 1975 6249 8 1975 5281 9 1975 4192 10 1975 4867 11 1975 3752 12 1975 3492 1 1976 1979 2 1976 4584 3 1976 5139 4 1976 5044 5 1976 5501 6 1976 5044 7 1976 5035 8 1976 5167 9 1976 4650 10 1976 5298 11 1976 4373 12 1976 3941 1 1977 2334 2 1977 4381 3 1977 5665 4 1977 4393 5 1977 5232 6 1977 5876 7 1977 5900 8 1977 5704 9 1977 4718 10 1977 4650 11 1977 4446 12 1977 3061 1 1978 2155 2 1978 4274 3 1978 4695 4 1978 4362 5 1978 4889 6 1978 5370 7 1978 5072 8 1978 4985 9 1978 3978 10 1978 4139 11 1978 3995 12 1978 3025 1 1979 1949 2 1979 4357 3 1979 4638 4 1979 3994 5 1979 6174 6 1979 5656 7 1979 4411 8 1979 5504 9 1979 4463 10 1979 4458 11 1979 4528 12 1979 2830 1 1980 1843 2 1980 5042 3 1980 5348 4 1980 5257 5 1980 6699 6 1980 5388 7 1980 6001 8 1980 5966 9 1980 4845 10 1980 4507 11 1980 4214 12 1980 3460 1 1981 1833 2 1981 4978 3 1981 6464 4 1981 5820 5 1981 6447 6 1981 6191 7 1981 6628 8 1981 5452 9 1981 5295 10 1981 5080 11 1981 5564 12 1981 3965 1 1982 2062 2 1982 5099 3 1982 6162 4 1982 5529 5 1982 6416 6 1982 6382 7 1982 5624 8 1982 5785 9 1982 4644 10 1982 5331 11 1982 5143 12 1982 4596 1 1983 2180 2 1983 5786 3 1983 5840 4 1983 5666 5 1983 6360 6 1983 6219 7 1983 6082 8 1983 5653 9 1983 5726 10 1983 5049 11 1983 5859 12 1983 4091 1 1984 2167 2 1984 6480 3 1984 7375 4 1984 6583 5 1984 7251 6 1984 6730 7 1984 6428 8 1984 5228 9 1984 4716 10 1984 6101 11 1984 5753 12 1984 4000 1 1985 2691 2 1985 5898 3 1985 6526 4 1985 5840 5 1985 6650 6 1985 5717 7 1985 7236 8 1985 6523 9 1985 5729 10 1985 6004 11 1985 5950 12 1985 4690 1 1986 3687 2 1986 7791 3 1986 7153 4 1986 6434 5 1986 7850 6 1986 6809 7 1986 8379 8 1986 6914 9 1986 6919 10 1986 7265 11 1986 6994 12 1986 5503 1 1987 3782 2 1987 7502 3 1987 8119 4 1987 7292 5 1987 6886 6 1987 7049 7 1987 7977 8 1987 8519 9 1987 6680 10 1987 7994 11 1987 7047 12 1987 5782 1 1988 3771 2 1988 7906 3 1988 8970 4 1988 6077 5 1988 7919 6 1988 7340 7 1988 7791 8 1988 7368 9 1988 8255 10 1988 7816 11 1988 7476 12 1988 6696 1 1989 4484 2 1989 8274 3 1989 8866 4 1989 8572 5 1989 9176 6 1989 8645 7 1989 8265 8 1989 9558 9 1989 7037 10 1989 9101 11 1989 8180 12 1989 7072 1 1990 3832 2 1990 7253 3 1990 8667 4 1990 7658 5 1990 8859 6 1990 7291 7 1990 7529 8 1990 8715 9 1990 8450 10 1990 9085 11 1990 8350 12 1990 7080 1 1991 3210 2 1991 8221 deaths 72 ) Data from file deaths.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Accidental Deaths, U.S.A., by month Jan 1973- Dec 1978 ) Used in Example 1.1.3, p. 3 ) Col. 1: Month (1 = Jan, ..., 12 = Dec) ) Col. 2: Year (1973-1978) ) Col. 3: Accidental Deaths, U.S.A., by month 1 1973 9007 2 1973 8106 3 1973 8928 4 1973 9137 5 1973 10017 6 1973 10826 7 1973 11317 8 1973 10744 9 1973 9713 10 1973 9938 11 1973 9161 12 1973 8927 1 1974 7750 2 1974 6981 3 1974 8038 4 1974 8422 5 1974 8714 6 1974 9512 7 1974 10120 8 1974 9823 9 1974 8743 10 1974 9129 11 1974 8710 12 1974 8680 1 1975 8162 2 1975 7306 3 1975 8124 4 1975 7870 5 1975 9387 6 1975 9556 7 1975 10093 8 1975 9620 9 1975 8285 10 1975 8433 11 1975 8160 12 1975 8034 1 1976 7717 2 1976 7461 3 1976 7776 4 1976 7925 5 1976 8634 6 1976 8945 7 1976 10078 8 1976 9179 9 1976 8037 10 1976 8488 11 1976 7874 12 1976 8647 1 1977 7792 2 1977 6957 3 1977 7726 4 1977 8106 5 1977 8890 6 1977 9299 7 1977 10625 8 1977 9302 9 1977 8314 10 1977 8850 11 1977 8265 12 1977 8796 1 1978 7836 2 1978 6892 3 1978 7791 4 1978 8129 5 1978 9115 6 1978 9434 7 1978 10484 8 1978 9827 9 1978 9110 10 1978 9070 11 1978 8633 12 1978 9240 djao2 251 2 ) Data from file djao2.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Closing values of the Dow-Jones Industrials Index and the ) Australian All-ordinaries Index of Share Prices, ) recorded at the termination of trading on 251 successive ) trading days from September 10, 1993 to August 26th, 1994 ) These are not necessarily successive days. ) In example 7.1.1, p. 219 3621.63 1941.50 3634.21 1938.30 3615.76 1912.90 3633.65 1903.60 3630.85 1902.60 3613.25 1925.50 3575.80 1924.10 3537.24 1925.20 3547.02 1919.30 3539.75 1928.60 3543.11 1946.50 3567.70 1943.00 3566.02 1942.30 3566.30 1951.40 3555.12 1964.40 3581.11 1972.70 3577.76 1977.00 3587.26 1998.50 3598.99 2018.80 3583.63 2022.50 3584.74 2026.20 3593.41 2039.80 3593.13 2028.00 3603.19 2038.60 3621.63 2062.00 3629.73 2074.10 3642.31 2085.50 3635.32 2075.50 3645.10 2051.70 3636.16 2060.40 3649.30 2061.40 3673.61 2046.90 3672.49 2055.70 3664.66 2068.30 3687.86 2076.30 3680.59 2112.20 3692.61 2132.40 3697.64 2125.30 3661.87 2108.40 3624.98 2101.60 3643.43 2079.90 3647.90 2054.20 3640.07 2050.80 3663.55 2042.90 3662.43 2052.40 3684.51 2074.00 3677.52 2082.90 3710.77 2083.80 3704.35 2104.30 3685.34 2108.00 3694.01 2083.20 3670.25 2049.30 3674.17 2009.60 3687.58 2032.40 3687.58 2042.00 3683.95 2043.10 3677.80 2010.30 3683.95 2009.40 3697.08 2005.40 3702.11 2047.30 3704.07 2047.40 3710.21 2053.70 3718.88 2073.90 3734.53 2096.00 3729.78 2095.70 3740.67 2084.90 3764.43 2094.50 3742.63 2086.60 3716.92 2069.90 3726.14 2074.80 3751.57 2080.20 3755.21 2076.00 3745.15 2067.00 3762.19 2053.20 3757.72 2068.80 3757.72 2089.20 3792.93 2089.20 3793.77 2089.20 3794.33 2126.90 3775.88 2154.50 3754.09 2173.60 3756.60 2173.60 3783.90 2174.30 3798.82 2193.40 3803.88 2200.30 3820.77 2186.00 3865.51 2198.60 3850.31 2206.70 3848.63 2195.60 3842.43 2177.50 3867.20 2206.40 3870.29 2238.20 3870.29 2232.10 3884.37 2248.20 3891.96 2266.20 3914.48 2250.30 3912.79 2224.50 3895.34 2221.90 3908.00 2221.90 3926.30 2250.70 3945.43 2259.90 3978.36 2310.80 3964.01 2310.10 3975.54 2312.10 3967.66 2340.60 3871.42 2332.80 3906.32 2281.10 3906.03 2305.40 3931.92 2270.90 3895.34 2234.30 3894.78 2241.40 3904.06 2238.60 3928.27 2234.00 3937.27 2249.00 3922.64 2240.90 3887.46 2223.20 3887.46 2178.50 3911.66 2202.50 3891.68 2218.90 3839.90 2197.00 3838.78 2148.80 3832.02 2180.10 3809.23 2181.70 3831.74 2154.00 3824.42 2151.40 3832.30 2116.80 3856.22 2144.70 3851.72 2171.70 3853.41 2146.80 3830.62 2155.10 3862.70 2153.10 3862.98 2179.30 3849.59 2172.50 3848.15 2173.50 3865.14 2164.40 3895.65 2163.50 3864.85 2140.50 3862.55 2140.80 3869.46 2180.90 3821.09 2169.80 3774.73 2151.60 3762.35 2108.90 3699.02 2100.80 3626.75 2092.40 3635.96 2053.10 3635.96 2053.10 3593.35 2053.10 3675.41 2050.00 3679.73 2084.10 3693.26 2087.40 3674.26 2082.00 3688.83 2076.00 3681.69 2095.10 3661.47 2111.20 3663.25 2095.00 3661.47 2080.60 3620.42 2095.90 3619.82 2061.40 3598.71 2046.60 3652.54 2029.60 3648.68 2042.50 3705.78 2042.50 3699.54 2069.40 3699.54 2059.70 3668.31 2069.10 3681.69 2066.10 3701.02 2047.90 3714.41 2044.20 3697.75 2018.40 3695.97 1988.10 3669.50 2004.30 3629.04 2009.30 3656.41 2008.20 3629.04 2034.60 3652.84 2041.40 3659.68 2070.00 3671.50 2110.90 3720.61 2096.00 3732.89 2107.80 3758.98 2093.70 3766.35 2103.90 3742.41 2121.00 3745.17 2132.40 3755.30 2105.90 3753.46 2096.90 3757.14 2102.20 3757.14 2091.80 3758.37 2081.80 3760.83 2097.20 3758.99 2077.00 3772.22 2078.60 3768.52 2072.50 3755.91 2070.20 3749.45 2079.70 3753.14 2076.70 3773.45 2069.40 3783.12 2069.40 3814.83 2076.60 3790.41 2074.40 3811.34 2056.00 3776.78 2051.20 3741.90 2024.40 3707.97 1993.60 3724.77 2010.90 3699.09 2022.50 3636.94 2017.90 3685.50 1957.40 3669.64 1974.40 3667.05 1975.10 3624.96 1989.10 3646.65 1965.80 3646.65 1987.10 3652.48 2003.40 3674.50 1991.20 3688.42 1962.20 3709.14 1964.90 3702.99 1961.20 3702.66 1972.90 3704.28 1978.60 3739.25 2007.70 3753.81 2058.00 3755.43 2072.30 3748.31 2077.40 3727.27 2078.60 3732.45 2049.20 3735.04 2052.50 3741.84 2048.30 3735.68 2041.30 3720.47 2041.70 3730.83 2042.10 3764.50 2061.50 3798.17 2082.10 3796.22 2086.90 3792.16 2072.30 3765.79 2083.50 3747.02 2091.90 3753.81 2081.10 3755.76 2086.80 3766.76 2076.50 3750.90 2062.80 3768.71 2051.90 3760.29 2055.70 3784.57 2040.00 3776.48 2059.50 3755.43 2066.80 3755.11 2061.30 3751.22 2063.60 3775.83 2051.60 3846.73 2061.10 3829.89 2077.80 3881.05 2077.20 djaopc2 250 2 ) Data from file djaopc2.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Percentage relative changes in Dow-Jones Industrials Index ) and the Australian All-ordinaries Index of Share Prices. ) Thus the values are of the form (100*(x[t] - x[t-1])/x[t-1] ) for t starting on the second trading day. See p. 220. ) The original indices were recorded at the termination of ) trading on 251 successive trading days from September 10, ) 1993 to August 26th, 1994. ) These are not necessarily successive days. ) In MacAnova they can be exactly reprroduced by ) cpdji <- round(100*movavg(1,dji)[-1]/dji[-nrows(dji)],8) ) cpao2 <- round(100*movavg(1,ao2)[-1]/ao2[-nrows(ao2)],8) ) where dji and ao2 are from file djao2.txt 0.34735741 -0.16482101 -0.50767567 -1.31042666 0.49477841 -0.48617283 -0.07705750 -0.05253204 -0.48473498 1.20361610 -1.03646302 -0.07270839 -1.07836009 0.05716959 0.27648675 -0.30646167 -0.20496078 0.48455166 0.09492196 0.92813440 0.69402305 -0.17980991 -0.04708916 -0.03602676 0.00785189 0.46851671 -0.31349017 0.66618838 0.73105831 0.42252087 -0.09354641 0.21797536 0.26552927 1.08750632 0.32699052 1.01576182 -0.42678640 0.18327719 0.03097418 0.18294190 0.24185855 0.67120719 -0.00779204 -0.57848809 0.27997874 0.52268245 0.51176874 1.14784656 0.22365620 0.58680892 0.34658225 0.54963599 -0.19191118 -0.47950132 0.26902721 -1.14671164 -0.24526076 0.42403860 0.36137024 0.04853427 0.66615515 -0.70340545 -0.03048772 0.42991841 -0.21320684 0.61292990 0.63307374 0.38679108 -0.19713330 1.72903723 0.32657808 0.95634883 0.13621801 -0.33295817 -0.96737378 -0.79518186 -1.00740878 -0.32251945 0.50896832 -1.03254663 0.12268659 -1.23563633 -0.21464404 -0.16551456 0.64504254 -0.38521553 -0.03057144 0.46502521 0.60287842 1.05242643 -0.18971315 0.42912247 0.90414192 0.04320899 -0.17300991 0.98377963 -0.51318045 0.17583044 0.23525645 -1.17647059 -0.64320346 -1.62730415 0.10680471 -1.93724687 0.36498039 1.13455414 0.00000000 0.47234796 -0.09843854 0.05386876 -0.16694038 -1.60540355 0.16721953 -0.04476944 0.35641092 -0.19906440 0.13605332 2.08935873 0.05294278 0.00488448 0.16576361 0.30770734 0.23367949 0.98359059 0.42082562 1.06562515 -0.12719137 -0.01431298 0.29197433 -0.51534094 0.63518033 0.46045374 -0.57910494 -0.37717832 -0.68695009 -0.80034506 0.24805484 0.23672641 0.68247570 0.26026605 0.09702605 -0.20190366 -0.26789447 -0.43352601 0.45498845 -0.66763425 -0.11881378 0.75978960 0.00000000 0.98607889 0.93700435 0.00000000 0.02214647 0.00000000 0.01476104 1.80451848 -0.48625186 1.29766327 -0.57708402 0.88651659 0.06686041 0.00000000 0.72672097 0.03220464 0.39430217 0.87844364 0.13319926 0.31458010 0.44402032 -0.64991138 1.17096816 0.57639524 -0.39322108 0.36841627 -0.04363285 -0.50301355 -0.16109629 -0.82437602 0.64464414 1.32721010 0.07990277 1.44126178 0.00000000 -0.27254043 0.36379703 0.72129385 0.19539848 0.80064051 0.57862876 -0.70161504 -0.04317304 -1.14651380 -0.44597333 -0.11688020 0.32500372 0.00000000 0.46827021 1.29618795 0.48722716 0.40876172 0.83463653 2.25231205 -0.36070139 -0.03029254 0.29086708 0.08657634 -0.19821207 1.23264565 -2.42561107 -0.33324789 0.90147801 -2.21622085 -0.00742387 1.06527552 0.66282133 -1.49648651 -0.93033429 -1.61169580 -0.01437615 0.31777290 0.23826763 -0.12492192 0.62012367 -0.20548557 0.22910849 0.67144136 -0.37157726 -0.36016007 -0.89684498 -0.78986122 0.00000000 -2.01061533 0.62251444 1.10167547 -0.51078059 0.74460840 -1.33053077 -0.98697553 -0.02916743 -2.19390077 -0.17609761 1.45662695 -0.59472550 0.07339113 0.59093308 -1.26965211 -0.19103593 -0.12070566 0.20604432 -1.60825509 0.62416825 1.31802721 -0.11669459 1.25891733 0.04387650 -1.14656720 -0.59142422 0.38662195 0.83746234 -0.09280312 0.00724882 1.21685012 -0.34662359 -0.31202680 -0.03740658 0.04602992 0.44151086 -0.41867955 0.78936339 -0.04158196 -0.79062544 -1.06309221 -0.05951072 0.01401542 0.17889736 1.87313154 -1.25004523 -0.50896419 -1.21326637 -0.83878699 -0.32797048 -1.98456962 -1.68325648 -0.38408649 -1.95376073 -0.39984768 0.25394637 -1.87822596 0.00000000 0.00000000 -1.17190508 0.00000000 2.28366288 -0.15099118 0.11753791 1.66341463 0.36769002 0.15834173 -0.51445065 -0.25869503 0.39654243 -0.28818444 -0.19355731 0.92003854 -0.54920431 0.76845974 0.04861435 -0.76733611 -0.04859073 -0.68735084 -1.12113441 0.73536480 -0.01657266 -1.64607090 -0.58317817 -0.71795867 1.49581378 -0.83064595 -0.10567988 0.63559322 1.56494952 0.00000000 -0.16838560 1.31701346 0.00000000 -0.46873490 -0.84415900 0.45637714 0.36474562 -0.14499058 0.52503062 -0.88088670 0.36179216 -0.18067288 -0.44852345 -1.26210743 -0.04813738 -1.50118906 -0.71618547 0.81484835 -1.10260253 0.24946365 0.75419395 -0.05474543 -0.74854844 1.31461010 0.65582082 0.33421803 0.18725156 1.40099931 0.32297906 1.97584541 1.33760044 -0.70586006 0.33005341 0.56297710 0.69892228 -0.66894392 0.19606383 0.48717581 -0.63562866 0.81277627 0.07374927 0.53748232 0.27048171 -1.24273119 -0.04899742 -0.42737072 0.09804287 0.25275407 0.00000000 -0.49471982 0.03273767 -0.47805718 0.06545391 0.73974445 -0.04892537 -0.96318901 0.35195624 0.07703418 -0.09808548 -0.29346676 -0.33461412 -0.11097708 -0.17199560 0.45889286 0.09841443 -0.14425157 0.54114688 -0.35151924 0.25626416 0.00000000 0.83819704 0.34792693 -0.64013337 -0.10594241 0.55218301 -0.88700347 -0.90676770 -0.23346304 -0.92353804 -1.30655226 -0.90675860 -1.52143845 0.45307810 0.86777689 -0.68943854 0.57685613 -1.68014295 -0.22744129 1.33518837 -2.99816641 -0.43033510 0.86849903 -0.07057913 0.03545381 -1.14778910 0.70882487 0.59835143 -1.17138404 0.00000000 1.08352834 0.15987276 0.82029088 0.60287804 -0.60896476 0.37882705 -1.45640820 0.56175815 0.13760065 -0.16580663 -0.18830475 -0.00891172 0.59657353 0.04375233 0.28891480 0.94404311 1.47073688 0.38938290 2.50535439 0.04315615 0.69484937 -0.18959214 0.24610336 -0.56131964 0.05776451 0.13897571 -1.41441355 0.06939142 0.16103845 0.18205963 -0.20462850 -0.16462489 -0.34174681 -0.40715479 0.01959536 0.27845944 0.01959152 0.90248014 0.95000245 0.89440829 0.99927237 -0.05134051 0.23053648 -0.10694849 -0.69960228 -0.69538205 0.54046229 -0.49843459 0.40316775 0.18121067 -0.51627707 0.05194722 0.27389361 0.29288346 -0.49357869 -0.42105151 -0.65976403 0.47481938 -0.52840799 -0.22341862 0.18519421 0.64569488 -0.76373012 -0.21376273 0.95588235 -0.55739737 0.35445497 -0.00852099 -0.26611186 -0.10359217 0.11158007 0.65605323 -0.58150804 1.87773284 0.46305323 -0.43777442 0.81024696 1.33580860 -0.02887670 djaopcf 40 2 ) Data from file djaopcf.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Percentage relative changes in Dow-Jones Industrials Index ) and the Australian All-ordinaries Index of Share Prices. ) Thus the values are of the form (100*(x[t] - x[t-1])/x[t-1] ) for t starting on the second trading day. ) These are for the next 40 trading days after August 26th ) 1994. See data set dcaopc2 and Example 7.6.3, p. 244 ) These are not necessarily successive days. 0.4586 1.6658 0.4732 0.2225 -0.0990 0.2646 -0.3061 -0.7822 -0.4065 0.0712 0.0000 -0.5458 0.3377 0.3865 -0.3193 0.0380 0.5715 -0.7270 -0.8610 -0.8855 -0.3734 -1.8207 0.5057 0.5263 0.3987 0.3376 1.5031 0.0147 -0.5192 0.3998 0.0857 -0.4808 -1.7179 -0.1952 -0.4520 -0.9047 -0.3757 0.0790 -0.1402 -0.0247 0.4564 0.1134 0.3585 -0.7980 0.3919 0.0199 -0.6072 0.8142 -0.2968 -0.0936 0.0963 0.1084 -1.1895 -1.6199 -0.3628 -0.9110 -0.3110 -0.1767 0.5793 -0.4453 0.6291 1.0419 1.4526 0.7848 -0.0433 -0.0499 0.3819 -0.1848 0.5275 0.3552 0.3442 0.4088 -0.1628 -0.5362 0.4722 0.4991 -0.6324 0.1440 -0.5075 0.9076 dowj 78 ) Data from file dowj.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) The Dow-Jones Utilities Index, August 28 - Dec. 18, 1972 ) See Example 5.1.1, p. 141 110.94 110.69 110.43 110.56 110.75 110.84 110.46 110.56 110.46 110.05 109.60 109.31 109.31 109.25 109.02 108.54 108.77 109.02 109.44 109.38 109.53 109.89 110.56 110.56 110.72 111.23 111.48 111.58 111.90 112.19 112.06 111.96 111.68 111.36 111.42 112.00 112.22 112.70 113.15 114.36 114.65 115.06 115.86 116.40 116.44 116.88 118.07 118.51 119.28 119.79 119.70 119.28 119.66 120.14 120.97 121.13 121.55 121.96 122.26 123.79 124.11 124.14 123.37 123.02 122.86 123.02 123.11 123.05 123.05 122.83 123.18 122.67 122.73 122.86 122.67 122.09 122.00 121.23 elec 422 3 ) Data from file elec.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Electricity Production - Australia ) Million Kilowatt hours - monthly ) January 1956 to February 1991 ) Not referenced in index ) Col. 1: Year ) Col. 2: Month (1 = Jan, ..., 12 = Dec.) ) Col. 3: Monthly Australian electricity production (10^6 KWH) 1956 1 1254 1956 2 1290 1956 3 1379 1956 4 1346 1956 5 1535 1956 6 1555 1956 7 1655 1956 8 1651 1956 9 1500 1956 10 1538 1956 11 1486 1956 12 1394 1957 1 1409 1957 2 1387 1957 3 1543 1957 4 1502 1957 5 1693 1957 6 1616 1957 7 1841 1957 8 1787 1957 9 1631 1957 10 1649 1957 11 1586 1957 12 1500 1958 1 1497 1958 2 1463 1958 3 1648 1958 4 1595 1958 5 1777 1958 6 1824 1958 7 1994 1958 8 1835 1958 9 1787 1958 10 1699 1958 11 1633 1958 12 1645 1959 1 1597 1959 2 1577 1959 3 1709 1959 4 1756 1959 5 1936 1959 6 2052 1959 7 2105 1959 8 2016 1959 9 1914 1959 10 1925 1959 11 1824 1959 12 1765 1960 1 1721 1960 2 1752 1960 3 1914 1960 4 1857 1960 5 2159 1960 6 2195 1960 7 2287 1960 8 2276 1960 9 2096 1960 10 2055 1960 11 2004 1960 12 1924 1961 1 1851 1961 2 1839 1961 3 2019 1961 4 1937 1961 5 2270 1961 6 2251 1961 7 2382 1961 8 2364 1961 9 2129 1961 10 2110 1961 11 2072 1961 12 1980 1962 1 1995 1962 2 1932 1962 3 2171 1962 4 2162 1962 5 2489 1962 6 2424 1962 7 2641 1962 8 2630 1962 9 2324 1962 10 2412 1962 11 2284 1962 12 2186 1963 1 2184 1963 2 2144 1963 3 2379 1963 4 2383 1963 5 2717 1963 6 2774 1963 7 3051 1963 8 2891 1963 9 2613 1963 10 2600 1963 11 2493 1963 12 2410 1964 1 2390 1964 2 2463 1964 3 2616 1964 4 2734 1964 5 2970 1964 6 3125 1964 7 3342 1964 8 3207 1964 9 2964 1964 10 2919 1964 11 2764 1964 12 2732 1965 1 2622 1965 2 2698 1965 3 2950 1965 4 2895 1965 5 3200 1965 6 3408 1965 7 3679 1965 8 3473 1965 9 3154 1965 10 3107 1965 11 3052 1965 12 2918 1966 1 2786 1966 2 2739 1966 3 3125 1966 4 3033 1966 5 3486 1966 6 3661 1966 7 3927 1966 8 3851 1966 9 3456 1966 10 3390 1966 11 3280 1966 12 3166 1967 1 3080 1967 2 3069 1967 3 3340 1967 4 3310 1967 5 3798 1967 6 3883 1967 7 4191 1967 8 4213 1967 9 3766 1967 10 3628 1967 11 3520 1967 12 3322 1968 1 3250 1968 2 3287 1968 3 3552 1968 4 3440 1968 5 4153 1968 6 4265 1968 7 4655 1968 8 4492 1968 9 4051 1968 10 3967 1968 11 3807 1968 12 3639 1969 1 3647 1969 2 3560 1969 3 3929 1969 4 3858 1969 5 4485 1969 6 4697 1969 7 4977 1969 8 4675 1969 9 4596 1969 10 4491 1969 11 4127 1969 12 4144 1970 1 4014 1970 2 3994 1970 3 4320 1970 4 4400 1970 5 5002 1970 6 5091 1970 7 5471 1970 8 5193 1970 9 4997 1970 10 4737 1970 11 4546 1970 12 4498 1971 1 4350 1971 2 4206 1971 3 4743 1971 4 4582 1971 5 5191 1971 6 5457 1971 7 5891 1971 8 5618 1971 9 5158 1971 10 5030 1971 11 4800 1971 12 4654 1972 1 4453 1972 2 4440 1972 3 4945 1972 4 4788 1972 5 5425 1972 6 5706 1972 7 6061 1972 8 5846 1972 9 5242 1972 10 5408 1972 11 5114 1972 12 5042 1973 1 5008 1973 2 4657 1973 3 5359 1973 4 5193 1973 5 5891 1973 6 5980 1973 7 6390 1973 8 6366 1973 9 5756 1973 10 5640 1973 11 5429 1973 12 5398 1974 1 5413 1974 2 5141 1974 3 5695 1974 4 5554 1974 5 6369 1974 6 6592 1974 7 7107 1974 8 6917 1974 9 6353 1974 10 6205 1974 11 5830 1974 12 5646 1975 1 5379 1975 2 5489 1975 3 5824 1975 4 5907 1975 5 6482 1975 6 6795 1975 7 7028 1975 8 6776 1975 9 6274 1975 10 6362 1975 11 5940 1975 12 5958 1976 1 5769 1976 2 5887 1976 3 6367 1976 4 6165 1976 5 6868 1976 6 7201 1976 7 7601 1976 8 7581 1976 9 7090 1976 10 6841 1976 11 6408 1976 12 6435 1977 1 6176 1977 2 6138 1977 3 6717 1977 4 6470 1977 5 7312 1977 6 7763 1977 7 8171 1977 8 7788 1977 9 7311 1977 10 6679 1977 11 6704 1977 12 6724 1978 1 6552 1978 2 6427 1978 3 7105 1978 4 6869 1978 5 7683 1978 6 8082 1978 7 8555 1978 8 8386 1978 9 7553 1978 10 7398 1978 11 7112 1978 12 6886 1979 1 7077 1979 2 6820 1979 3 7426 1979 4 7143 1979 5 8261 1979 6 8240 1979 7 8977 1979 8 8991 1979 9 8026 1979 10 7911 1979 11 7510 1979 12 7381 1980 1 7366 1980 2 7414 1980 3 7824 1980 4 7524 1980 5 8279 1980 6 8707 1980 7 9486 1980 8 8973 1980 9 8231 1980 10 8206 1980 11 7927 1980 12 7999 1981 1 7834 1981 2 7521 1981 3 8284 1981 4 7999 1981 5 8940 1981 6 9381 1981 7 10078 1981 8 9796 1981 9 8471 1981 10 8572 1981 11 8150 1981 12 8168 1982 1 8166 1982 2 7903 1982 3 8606 1982 4 8071 1982 5 9178 1982 6 9873 1982 7 10476 1982 8 9296 1982 9 8818 1982 10 8697 1982 11 8381 1982 12 8293 1983 1 7942 1983 2 8001 1983 3 8744 1983 4 8397 1983 5 9115 1983 6 9773 1983 7 10358 1983 8 9849 1983 9 9083 1983 10 9143 1983 11 8800 1983 12 8741 1984 1 8492 1984 2 8795 1984 3 9354 1984 4 8796 1984 5 10072 1984 6 10174 1984 7 11326 1984 8 10744 1984 9 9806 1984 10 9740 1984 11 9373 1984 12 9244 1985 1 9407 1985 2 8827 1985 3 9880 1985 4 9364 1985 5 10580 1985 6 10899 1985 7 11687 1985 8 11280 1985 9 10208 1985 10 10212 1985 11 9725 1985 12 9721 1986 1 9846 1986 2 9407 1986 3 10265 1986 4 9970 1986 5 10801 1986 6 11246 1986 7 12167 1986 8 11578 1986 9 10645 1986 10 10613 1986 11 10104 1986 12 10348 1987 1 10263 1987 2 9973 1987 3 10803 1987 4 10409 1987 5 11458 1987 6 11845 1987 7 12559 1987 8 12070 1987 9 11221 1987 10 11338 1987 11 10761 1987 12 11012 1988 1 10923 1988 2 10790 1988 3 11427 1988 4 10788 1988 5 11772 1988 6 12104 1988 7 12634 1988 8 12772 1988 9 11764 1988 10 11956 1988 11 11646 1988 12 11750 1989 1 11485 1989 2 11198 1989 3 12265 1989 4 11704 1989 5 12419 1989 6 13259 1989 7 13945 1989 8 13839 1989 9 12387 1989 10 12546 1989 11 12038 1989 12 11977 1990 1 12336 1990 2 11793 1990 3 12877 1990 4 11923 1990 5 13306 1990 6 13988 1990 7 14002 1990 8 14338 1990 9 12867 1990 10 12761 1990 11 12449 1990 12 12658 1991 1 12807 1991 2 12013 ex611 200 ) Data from file ex611.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) 200 observations of an ARIMA(1,1,0) series with phi = 0.8, ) sigmat = 1, illustrated in Example 6.1.1, p. 179 2.35529 3.97812 4.68998 4.76872 4.51269 4.46574 3.15743 2.80433 3.12643 2.23670 1.72745 0.60372 -0.07420 -1.59202 -2.45998 -2.01945 -1.74457 -1.84849 -3.04644 -4.41689 -6.11269 -7.85280 -10.21754 -12.17186 -14.19516 -13.36829 -12.66769 -11.86291 -9.79885 -7.15658 -6.78851 -7.23582 -7.22482 -7.51158 -7.94588 -6.52517 -6.20661 -5.36547 -5.48722 -4.41160 -3.56551 -2.38470 -0.67871 1.82081 4.98448 7.90982 10.95520 14.66206 18.21799 20.21167 20.72451 21.38262 21.46560 22.62539 23.38983 23.37781 22.73517 22.32486 21.39278 20.42269 20.17254 20.10231 21.85471 24.78262 26.75943 27.80584 26.67552 24.99831 25.40102 26.32479 29.55460 31.43178 32.87692 34.16300 36.58532 38.28238 39.30827 41.30084 43.14825 44.14237 43.80638 43.32075 43.96524 42.95986 40.63035 39.79926 39.42160 38.17426 35.54543 33.16446 29.67088 26.68562 25.22821 25.61048 27.41360 28.72619 27.50701 25.34407 24.31539 23.86783 25.07933 27.61560 29.41568 29.46099 28.39221 28.82964 28.23829 26.42978 26.11173 25.85741 26.38761 27.14765 27.12752 28.42725 29.90639 31.92018 33.79117 35.27895 36.05540 35.71111 35.31327 36.32458 38.04168 40.49825 43.24348 44.53748 44.59506 44.66600 45.54657 46.40500 47.16366 46.92207 46.63551 48.39925 48.22291 49.83832 51.86087 53.01292 55.01277 57.05932 60.92378 65.11794 69.95896 72.87776 76.03131 78.92613 79.52071 80.56388 82.47683 83.23601 83.52681 82.63753 82.21608 82.26743 82.92201 83.90839 84.05912 83.55289 81.31308 76.75011 70.99807 66.86860 64.33958 61.98777 59.70756 57.68674 56.43822 55.89503 54.62747 54.38974 52.59788 50.08789 47.04164 45.29583 44.26649 44.43901 43.77127 42.40905 41.81829 40.24721 39.22478 38.72275 37.55967 36.65595 34.95921 32.29345 32.41226 33.11725 33.77816 33.56976 32.78857 33.88009 34.96359 34.75066 34.13862 31.96639 30.02671 29.22991 27.89676 26.96949 finserv 86 3 ) Data from file finserv.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Australian Expenditure on Financial ) Services in millions of dollars. ) Sep. qtr 69 - Mar qtr 90 ) Not referenced in index ) Col. 1: Quarter (1 = Mar, 2 = Sun, 3 = Sep, 4 = Dec) ) Col. 2: Year ) Col. 3: Financial services expenditures 3 1969 393 4 1969 444 1 1970 403 2 1970 403 3 1970 430 4 1970 453 1 1971 413 2 1971 424 3 1971 432 4 1971 440 1 1972 445 2 1972 447 3 1972 503 4 1972 497 1 1973 498 2 1973 505 3 1973 569 4 1973 560 1 1974 556 2 1974 560 3 1974 531 4 1974 546 1 1975 544 2 1975 547 3 1975 544 4 1975 559 1 1976 548 2 1976 551 3 1976 579 4 1976 584 1 1977 604 2 1977 602 3 1977 591 4 1977 629 1 1978 645 2 1978 667 3 1978 667 4 1978 667 1 1979 696 2 1979 708 3 1979 718 4 1979 728 1 1980 729 2 1980 738 3 1980 742 4 1980 774 1 1981 770 2 1981 792 3 1981 801 4 1981 805 1 1982 804 2 1982 836 3 1982 841 4 1982 851 1 1983 860 2 1983 871 3 1983 888 4 1983 878 1 1984 898 2 1984 897 3 1984 900 4 1984 921 1 1985 951 2 1985 957 3 1985 999 4 1985 1009 1 1986 1021 2 1986 1068 3 1986 1083 4 1986 1118 1 1987 1185 2 1987 1222 3 1987 1349 4 1987 1410 1 1988 1445 2 1988 1491 3 1988 1534 4 1988 1574 1 1989 1640 2 1989 1710 3 1989 1809 4 1989 1850 1 1990 1907 2 1990 1972 3 1990 2063 4 1990 2150 gnfp 126 3 ) Data from file gnfp.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Australian Gross Non-farm Product at average 1984/5 prices in ) millions of dollars. ) Sep. qtr 59 - Dec Qtr 90 ) Not mentioned in index ) Col. 1: Quarter (1 = Mar, 2 = Jun, 3 = Sep, 4 = Dec) ) Col. 2: Year ) Col. 3: Australian Gross Non-farm Product 3 1959 18530 4 1959 20175 1 1960 18433 2 1960 18928 3 1960 19850 4 1960 20994 1 1961 18635 2 1961 18792 3 1961 19083 4 1961 20760 1 1962 19208 2 1962 20100 3 1962 20516 4 1962 22297 1 1963 20233 2 1963 21118 3 1963 22045 4 1963 24345 1 1964 21422 2 1964 22568 3 1964 23655 4 1964 25669 1 1965 23118 2 1965 24492 3 1965 25175 4 1965 26569 1 1966 23796 2 1966 24999 3 1966 25796 4 1966 27790 1 1967 25537 2 1967 26890 3 1967 27299 4 1967 29583 1 1968 26940 2 1968 28233 3 1968 29048 4 1968 31812 1 1969 28581 2 1969 30215 3 1969 31578 4 1969 34377 1 1970 30013 2 1970 32687 3 1970 33555 4 1970 36014 1 1971 31938 2 1971 34014 3 1971 35073 4 1971 37840 1 1972 33080 2 1972 35474 3 1972 36019 4 1972 39797 1 1973 35675 2 1973 37086 3 1973 38281 4 1973 41493 1 1974 36653 2 1974 38302 3 1974 38308 4 1974 41446 1 1975 36970 2 1975 39590 3 1975 36978 4 1975 41966 1 1976 38818 2 1976 40481 3 1976 40993 4 1976 43688 1 1977 39302 2 1977 40987 3 1977 41443 4 1977 43212 1 1978 40234 2 1978 42052 3 1978 42616 4 1978 45494 1 1979 42403 2 1979 43259 3 1979 43833 4 1979 47389 1 1980 43340 2 1980 44507 3 1980 45383 4 1980 49750 1 1981 44630 2 1981 46735 3 1981 47504 4 1981 50376 1 1982 44956 2 1982 46855 3 1982 47093 4 1982 50080 1 1983 44575 2 1983 46400 3 1983 47635 4 1983 51275 1 1984 48075 2 1984 49858 3 1984 50949 4 1984 54234 1 1985 49756 2 1985 52415 3 1985 54080 4 1985 56858 1 1986 51940 2 1986 53475 3 1986 54716 4 1986 58414 1 1987 53231 2 1987 56078 3 1987 57948 4 1987 61196 1 1988 56515 2 1988 58014 3 1988 59755 4 1988 63107 1 1989 59095 2 1989 61147 3 1989 62000 4 1989 65205 1 1990 60389 2 1990 62494 3 1990 62050 4 1990 65175 goals 57 2 ) Data from file goals.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Number of goals (scored by England against Scotland in soccer ) matches played at Hampden Park in Glasgow. Played (mostly) ) every 2 years from 1872 to1987, except during WWI and WWII ) Wartime values are entered as MISSING. ) See Example 8.8.7, p. 298 ) Col. 1: Number of goals ) Col. 2: Year (1872 - 1987) 0 1872 1 1874 0 1876 2 1878 4 1880 1 1882 0 1884 1 1886 5 1888 1 1890 4 1892 2 1894 1 1896 3 1898 1 1900 1 1904 1 1906 1 1908 0 1910 1 1912 1 1914 ? 1916 ? 1918 0 1921 2 1923 0 1925 2 1927 0 1929 0 1931 1 1933 0 1935 1 1937 2 1939 ? 1941 ? 1943 ? 1945 2 1948 1 1950 2 1952 4 1954 1 1956 4 1958 1 1960 0 1962 0 1964 4 1966 1 1968 0 1970 1 1972 0 1974 1 1976 1 1978 2 1980 1 1982 1 1984 0 1985 0 1987 imports 126 3 ) Data from file imports.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Australian imports of all goods and services ) in millions of $A at average 1984/85 prices. ) September quarter 1959 - December quarter 1990 ) Not referenced in index ) Col. 1: Year ) Col. 2: Quarter (1 = Mar, 2 = Sun, 3 = Sep, 4 = Dec) ) Col. 3: Australian imports of all goods and services 1959 3 2391 1959 4 2488 1960 1 2624 1960 2 2889 1960 3 2981 1960 4 3007 1961 1 3052 1961 2 2677 1961 3 2347 1961 4 2268 1962 1 2576 1962 2 2792 1962 3 2889 1962 4 2871 1963 1 2906 1963 2 3060 1963 3 3104 1963 4 3021 1964 1 3280 1964 2 2602 1964 3 3756 1964 4 3840 1965 1 3827 1965 2 4095 1965 3 4403 1965 4 4077 1966 1 3694 1966 2 3734 1966 3 3928 1966 4 3809 1967 1 4161 1967 2 4276 1967 3 4280 1967 4 4210 1968 1 4870 1968 2 4694 1968 3 4822 1968 4 4628 1969 1 4456 1969 2 4729 1969 3 5150 1969 4 5157 1970 1 5033 1970 2 5233 1970 3 5230 1970 4 5072 1971 1 4945 1971 2 5178 1971 3 5402 1971 4 5033 1972 1 4807 1972 2 4532 1972 3 4578 1972 4 4877 1973 1 5163 1973 2 5394 1973 3 6090 1973 4 6383 1974 1 6752 1974 2 7043 1974 3 7936 1974 4 7159 1975 1 6151 1975 2 5803 1975 3 6183 1975 4 6204 1976 1 6508 1976 2 6503 1976 3 7330 1976 4 6872 1977 1 7124 1977 2 6874 1977 3 6883 1977 4 6414 1978 1 6883 1978 2 6894 1978 3 6883 1978 4 6414 1979 1 7268 1979 2 7395 1979 3 7062 1979 4 7442 1980 1 7625 1980 2 7104 1980 3 7907 1980 4 7916 1981 1 7959 1981 2 8156 1981 3 8808 1981 4 8589 1982 1 9040 1982 2 9102 1982 3 8951 1982 4 8220 1983 1 7642 1983 2 7691 1983 3 8184 1983 4 8110 1984 1 8689 1984 2 9206 1984 3 10482 1984 4 9741 1985 1 9411 1985 2 9872 1985 3 10703 1985 4 10205 1986 1 9485 1986 2 9690 1986 3 10004 1986 4 9891 1987 1 9174 1987 2 9879 1987 3 10498 1987 4 10852 1988 1 10584 1988 2 10826 1988 3 12239 1988 4 13060 1989 1 13383 1989 2 14124 1989 3 14609 1989 4 14035 1990 1 13632 1990 2 12704 1990 3 14294 1990 4 13447 lake 98 ) Data from file lake.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Level (- 57 feet) of Lake Huron, 1875-1972 (N = 98) ) From Example 1.3.5, p. 10 10.38 11.86 10.97 10.80 9.79 10.39 10.42 10.82 11.40 11.32 11.44 11.68 11.17 10.53 10.01 9.91 9.14 9.16 9.55 9.67 8.44 8.24 9.10 9.09 9.35 8.82 9.32 9.01 9.00 9.80 9.83 9.72 9.89 10.01 9.37 8.69 8.19 8.67 9.55 8.92 8.09 9.37 10.13 10.14 9.51 9.24 8.66 8.86 8.05 7.79 6.75 6.75 7.82 8.64 10.58 9.48 7.38 6.90 6.94 6.24 6.84 6.85 6.90 7.79 8.18 7.51 7.23 8.42 9.61 9.05 9.26 9.22 9.38 9.10 7.95 8.12 9.75 10.85 10.41 9.96 9.61 8.76 8.18 7.21 7.13 9.10 8.25 7.91 6.89 5.96 6.80 7.68 8.38 8.52 9.74 9.31 9.89 9.96 lead 150 ) Data from file lead.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Leading indicator data used in Example 7.1.2 ) Column 1 of Series M, Box & Jenkins, P. 537, N = 150 10.01 10.07 10.32 9.75 10.33 10.13 10.36 10.32 10.13 10.16 10.58 10.62 10.86 11.20 10.74 10.56 10.48 10.77 11.33 10.96 11.16 11.70 11.39 11.42 11.94 11.24 11.59 10.96 11.40 11.02 11.01 11.23 11.33 10.83 10.84 11.14 10.38 10.90 11.05 11.11 11.01 11.22 11.21 11.91 11.69 10.93 10.99 11.01 10.84 10.76 10.77 10.88 10.49 10.50 11.00 10.98 10.61 10.48 10.53 11.07 10.61 10.86 10.34 10.78 10.80 10.33 10.44 10.50 10.75 10.40 10.40 10.34 10.55 10.46 10.82 10.91 10.87 10.67 11.11 10.88 11.28 11.27 11.44 11.52 12.10 11.83 12.62 12.41 12.43 12.73 13.01 12.74 12.73 12.76 12.92 12.64 12.79 13.05 12.69 13.01 12.90 13.12 12.47 12.47 12.94 13.10 12.91 13.39 13.13 13.34 13.34 13.14 13.49 13.87 13.39 13.59 13.27 13.70 13.20 13.32 13.15 13.30 12.94 13.29 13.26 13.08 13.24 13.31 13.52 13.02 13.25 13.12 13.26 13.11 13.30 13.06 13.32 13.10 13.27 13.64 13.58 13.87 13.53 13.41 13.25 13.50 13.58 13.51 13.77 13.40 lres 149 ) Data from file lres.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Not referenced in indes; not known what it represents; probably ) something to do with data set lake .336522e-01 .236825e+00 -.480500e+00 .329958e+00 -.663437e-01 .175769e+00 .206378e-01 -.202959e+00 -.890459e-01 .355000e+00 .185678e+00 .305343e+00 .462119e+00 -.263499e+00 -.327768e+00 -.258262e+00 .144716e+00 .605908e+00 -.105278e+00 .127299e+00 .577645e+00 -.586870e-01 -.205960e-01 .487476e+00 -.491468e+00 .940713e-01 -.608120e+00 .128725e+00 -.341677e+00 -.194861e+00 .104796e+00 .126969e+00 -.462511e+00 -.232190e+00 .167086e+00 -.703478e+00 .163482e+00 .204813e+00 .134421e+00 -.589747e-01 .159268e+00 .428128e-01 .697561e+00 .882061e-01 -.740901e+00 -.314273e+00 -.151858e+00 -.264801e+00 -.228387e+00 -.121110e+00 .297875e-01 -.398619e+00 -.201877e+00 .381468e+00 .138235e+00 -.327166e+00 -.307976e+00 -.118871e+00 .460850e+00 -.264101e+00 .101945e+00 -.494383e+00 .182688e+00 .839250e-01 -.452934e+00 -.127647e+00 -.233133e-01 .216187e+00 -.270182e+00 -.150940e+00 -.154365e+00 .114010e+00 -.586597e-01 .309417e+00 .214051e+00 .388052e-01 -.204340e+00 .320298e+00 -.100785e+00 .329430e+00 .123547e+00 .205865e+00 .154922e+00 .630751e+00 .650796e-02 .770336e+00 .132735e+00 .602248e-01 .305821e+00 .402346e+00 -.101859e+00 -.810789e-01 -.312189e-01 .122436e+00 -.244661e+00 .111682e-01 .242547e+00 -.267676e+00 .170250e+00 -.519770e-01 .172588e+00 -.590867e+00 -.303089e+00 .303447e+00 .281220e+00 -.793273e-01 .419612e+00 -.836668e-01 .147553e+00 .472547e-01 -.200331e+00 .232200e+00 .467416e+00 -.280985e+00 .439344e-01 -.321907e+00 .254519e+00 -.401995e+00 -.934786e-01 -.237103e+00 .147554e-01 -.375752e+00 .148973e+00 .179290e-01 -.194246e+00 .450883e-01 .686411e-01 .219815e+00 -.418460e+00 .870918e-02 -.148620e+00 .467360e-01 -.150578e+00 .958069e-01 -.217296e+00 .134151e+00 -.179103e+00 .622730e-01 .376794e+00 .960178e-01 .312804e+00 -.214342e+00 -.244446e+00 -.298729e+00 .855161e-01 .978214e-01 -.463399e-01 .215263e+00 -.290621e+00 ls2 150 2 ) Data from file ls2.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Series M, Box & Jenkins, P. 537, N = 150 ) Sales data with leading indicator ) Col. 1: X(t) = leading indicator ) Col. 2: Y(t) = sales ) Note: Y(114) has been corrected to 256.2 from the number 216.2 in ) B&J probably just by replacing digit 1 by 5 ) Y(113) = 250.0 and Y(115) = 260.0 10.01 200.1 10.07 199.5 10.32 199.4 9.75 198.9 10.33 199.0 10.13 200.2 10.36 198.6 10.32 200.0 10.13 200.3 10.16 201.2 10.58 201.6 10.62 201.5 10.86 201.5 11.20 203.5 10.74 204.9 10.56 207.1 10.48 210.5 10.77 210.5 11.33 209.8 10.96 208.8 11.16 209.5 11.70 213.2 11.39 213.7 11.42 215.1 11.94 218.7 11.24 219.8 11.59 220.5 10.96 223.8 11.40 222.8 11.02 223.8 11.01 221.7 11.23 222.3 11.33 220.8 10.83 219.4 10.84 220.1 11.14 220.6 10.38 218.9 10.90 217.8 11.05 217.7 11.11 215.0 11.01 215.3 11.22 215.9 11.21 216.7 11.91 216.7 11.69 217.7 10.93 218.7 10.99 222.9 11.01 224.9 10.84 222.2 10.76 220.7 10.77 220.0 10.88 218.7 10.49 217.0 10.50 215.9 11.00 215.8 10.98 214.1 10.61 212.3 10.48 213.9 10.53 214.6 11.07 213.6 10.61 212.1 10.86 211.4 10.34 213.1 10.78 212.9 10.80 213.3 10.33 211.5 10.44 212.3 10.50 213.0 10.75 211.0 10.40 210.7 10.40 210.1 10.34 211.4 10.55 210.0 10.46 209.7 10.82 208.8 10.91 208.8 10.87 208.8 10.67 210.6 11.11 211.9 10.88 212.8 11.28 212.5 11.27 214.8 11.44 215.3 11.52 217.5 12.10 218.8 11.83 220.7 12.62 222.2 12.41 226.7 12.43 228.4 12.73 233.2 13.01 235.7 12.74 237.1 12.73 240.6 12.76 243.8 12.92 245.3 12.64 246.0 12.79 246.3 13.05 247.7 12.69 247.6 13.01 247.8 12.90 249.4 13.12 249.0 12.47 249.9 12.47 250.5 12.94 251.5 13.10 249.0 12.91 247.6 13.39 248.8 13.13 250.4 13.34 250.7 13.34 253.0 13.14 253.7 13.49 255.0 13.87 256.2 13.39 256.0 13.59 257.4 13.27 260.4 13.70 260.0 13.20 261.3 13.32 260.4 13.15 261.6 13.30 260.8 12.94 259.8 13.29 259.0 13.26 258.9 13.08 257.4 13.24 257.7 13.31 257.9 13.52 257.4 13.02 257.3 13.25 257.6 13.12 258.9 13.26 257.8 13.11 257.7 13.30 257.2 13.06 257.5 13.32 256.8 13.10 257.5 13.27 257.0 13.64 257.6 13.58 257.3 13.87 257.5 13.53 259.6 13.41 261.1 13.25 262.9 13.50 263.3 13.58 262.8 13.51 261.8 13.77 262.2 13.40 262.7 lynx 114 2 ) Data from file lynx.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Annual Canadian Lynx Trappings, 1821 - 1934 ) Col. 1: Year ) Col. 2: Annual Canadian Lynx Trappings ) Not listed in index 1821 269 1822 321 1823 585 1824 871 1825 1475 1826 2821 1827 3928 1828 5943 1829 4950 1830 2577 1831 523 1832 98 1833 184 1834 279 1835 409 1836 2285 1837 2685 1838 3409 1839 1824 1840 409 1841 151 1842 45 1843 68 1844 213 1845 546 1846 1033 1847 2129 1848 2536 1849 957 1850 361 1851 377 1852 225 1853 360 1854 731 1855 1638 1856 2725 1857 2871 1858 2119 1859 684 1860 299 1861 236 1862 245 1863 552 1864 1623 1865 3311 1866 6721 1867 4254 1868 687 1869 255 1870 473 1871 358 1872 784 1873 1594 1874 1676 1875 2251 1876 1426 1877 756 1878 299 1879 201 1880 229 1881 469 1882 736 1883 2042 1884 2811 1885 4431 1886 2511 1887 389 1888 73 1889 39 1890 49 1891 59 1892 188 1893 377 1894 1292 1895 4031 1896 3495 1897 587 1898 105 1899 153 1900 387 1901 758 1902 1307 1903 3465 1904 6991 1905 6313 1906 3794 1907 1836 1908 345 1909 382 1910 808 1911 1388 1912 2713 1913 3800 1914 3091 1915 2985 1916 3790 1917 674 1918 81 1919 80 1920 108 1921 229 1922 399 1923 1132 1924 2432 1925 3574 1926 2935 1927 1537 1928 529 1929 485 1930 662 1931 1000 1932 1590 1933 2657 1934 3396 oshorts 57 ) Data from file oshorts.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Overshorts data shown in Figure 3.5 on p. 95 ) 57 daily overshorts from an underground gasoline tank at a filling ) station in Colarado 78 -58 53 -65 13 -6 -16 -14 3 -72 89 -48 -14 32 56 -86 -66 50 26 59 -47 -83 2 -1 124 -106 113 -76 -47 -32 39 -30 6 -73 18 2 -24 23 -38 91 -56 -58 1 14 -4 77 -127 97 10 -28 -17 23 -2 48 -131 65 -17 polio 168 3 ) Data from file polio.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Monthly U.S. polio cases, Jan. 70 - Dec. 83 used in ) Example 8.8.3, pp. 289-292 ) Col. 1: Year (1970 - 1983) ) Col. 2: Month (1 = Jan, .., 12 = Dec.) ) Col. 3: Monthly U.S. polio cases (0 to 14) 1970 1 0 1970 2 1 1970 3 0 1970 4 0 1970 5 1 1970 6 3 1970 7 9 1970 8 2 1970 9 3 1970 10 5 1970 11 3 1970 12 5 1971 1 2 1971 2 2 1971 3 0 1971 4 1 1971 5 0 1971 6 1 1971 7 3 1971 8 3 1971 9 2 1971 10 1 1971 11 1 1971 12 5 1972 1 0 1972 2 3 1972 3 1 1972 4 0 1972 5 1 1972 6 4 1972 7 0 1972 8 0 1972 9 1 1972 10 6 1972 11 14 1972 12 1 1973 1 1 1973 2 0 1973 3 0 1973 4 1 1973 5 1 1973 6 1 1973 7 1 1973 8 0 1973 9 1 1973 10 0 1973 11 1 1973 12 0 1974 1 1 1974 2 0 1974 3 1 1974 4 0 1974 5 1 1974 6 0 1974 7 1 1974 8 0 1974 9 1 1974 10 0 1974 11 0 1974 12 2 1975 1 0 1975 2 1 1975 3 0 1975 4 1 1975 5 0 1975 6 0 1975 7 1 1975 8 2 1975 9 0 1975 10 0 1975 11 1 1975 12 2 1976 1 0 1976 2 3 1976 3 1 1976 4 1 1976 5 0 1976 6 2 1976 7 0 1976 8 4 1976 9 0 1976 10 2 1976 11 1 1976 12 1 1977 1 1 1977 2 1 1977 3 0 1977 4 1 1977 5 1 1977 6 0 1977 7 2 1977 8 1 1977 9 3 1977 10 1 1977 11 2 1977 12 4 1978 1 0 1978 2 0 1978 3 0 1978 4 1 1978 5 0 1978 6 1 1978 7 0 1978 8 2 1978 9 2 1978 10 4 1978 11 2 1978 12 3 1979 1 3 1979 2 0 1979 3 0 1979 4 2 1979 5 7 1979 6 8 1979 7 2 1979 8 4 1979 9 1 1979 10 1 1979 11 2 1979 12 4 1980 1 0 1980 2 1 1980 3 1 1980 4 1 1980 5 3 1980 6 0 1980 7 0 1980 8 0 1980 9 0 1980 10 1 1980 11 0 1980 12 1 1981 1 1 1981 2 0 1981 3 0 1981 4 0 1981 5 0 1981 6 0 1981 7 1 1981 8 2 1981 9 0 1981 10 2 1981 11 0 1981 12 0 1982 1 0 1982 2 1 1982 3 0 1982 4 1 1982 5 0 1982 6 1 1982 7 0 1982 8 2 1982 9 0 1982 10 0 1982 11 1 1982 12 2 1983 1 0 1983 2 1 1983 3 0 1983 4 0 1983 5 0 1983 6 1 1983 7 2 1983 8 1 1983 9 0 1983 10 1 1983 11 3 1983 12 6 respc 88 ) Data from file respc.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Quarterly percentage change in the resident Australian population ) from 3 quarter 1971 to quarter 2 1993 derived from the data in file ) austres.dat. The values were rounded down to 6 digits. ) Used in Example 10.5.1, pp. 350-352 ) In MacAnova you can compute these numbers exactly by ) floor(1e6*100*movavg(1,austres)[-1]/austres[-nrows(austres)])/1e6 0.483650 0.517116 0.422778 0.373466 0.377338 0.414860 0.372129 0.336572 0.356177 0.455263 0.405456 0.388456 0.360718 0.434937 0.221226 0.219295 0.243287 0.302294 0.256283 0.202789 0.234445 0.313521 0.322464 0.258554 0.278321 0.349923 0.341700 0.202368 0.259761 0.237556 0.329850 0.257625 0.270052 0.327037 0.300633 0.334553 0.348408 0.412298 0.452476 0.328752 0.438240 0.436328 0.449047 0.413313 0.362877 0.325474 0.374781 0.308219 0.295579 0.288231 0.310007 0.308405 0.315159 0.312250 0.378891 0.327895 0.325557 0.384476 0.383004 0.355856 0.365831 0.386268 0.396554 0.372153 0.397213 0.434838 0.484178 0.363508 0.504287 0.453626 0.480325 0.333190 0.347529 0.385990 0.409865 0.347110 0.125838 0.365349 0.407702 0.305115 0.359703 0.345737 0.190074 0.202323 0.248246 0.243638 0.332409 0.195154 sales 150 ) Data from file sales.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Variable 2 (Y = sales) from Series M, Box & Jenkins, P. 537, N = 150 ) Sales data with leading indicator ) Note: Y(114) has been corrected to 256.2 from the number 216.2 in ) B&J probably just by replacing digit 1 by 5 ) Y(113) = 250.0 and Y(115) = 260.0 200.1 199.5 199.4 198.9 199.0 200.2 198.6 200.0 200.3 201.2 201.6 201.5 201.5 203.5 204.9 207.1 210.5 210.5 209.8 208.8 209.5 213.2 213.7 215.1 218.7 219.8 220.5 223.8 222.8 223.8 221.7 222.3 220.8 219.4 220.1 220.6 218.9 217.8 217.7 215.0 215.3 215.9 216.7 216.7 217.7 218.7 222.9 224.9 222.2 220.7 220.0 218.7 217.0 215.9 215.8 214.1 212.3 213.9 214.6 213.6 212.1 211.4 213.1 212.9 213.3 211.5 212.3 213.0 211.0 210.7 210.1 211.4 210.0 209.7 208.8 208.8 208.8 210.6 211.9 212.8 212.5 214.8 215.3 217.5 218.8 220.7 222.2 226.7 228.4 233.2 235.7 237.1 240.6 243.8 245.3 246.0 246.3 247.7 247.6 247.8 249.4 249.0 249.9 250.5 251.5 249.0 247.6 248.8 250.4 250.7 253.0 253.7 255.0 256.2 256.0 257.4 260.4 260.0 261.3 260.4 261.6 260.8 259.8 259.0 258.9 257.4 257.7 257.9 257.4 257.3 257.6 258.9 257.8 257.7 257.2 257.5 256.8 257.5 257.0 257.6 257.3 257.5 259.6 261.1 262.9 263.3 262.8 261.8 262.2 262.7 signal 200 ) Data from file signal.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Simulated data said to follow X(t) = cos(t) + N(t), ) t = .1, .2, ..., 20, where N(t) are iid N(0,0.5^2) ) from example 1/1/4, p. 4 ) Almost certainly it does not follow this model; more likely ) is .6*cos(t) + N(t), where N(t) are iid N(0,1^2) 1.313713 1.606903 0.024068 1.253616 0.016990 -0.60852 0.055914 -0.17619 0.890955 0.506149 -0.29828 0.928549 -0.74653 0.826843 0.729047 0.617480 1.288167 -0.87065 -0.32580 -0.15477 -2.30426 -1.38267 -0.31630 -0.14924 -0.14115 -2.11038 -1.74218 -0.11656 0.617320 0.896663 -1.96986 -0.22061 0.263709 -0.62655 -2.30292 -0.87659 0.732939 -0.27476 -1.56454 0.716348 -0.91094 -0.73979 -1.34726 0.900343 0.347532 -0.33504 -0.84408 -0.87834 -0.65892 -0.03590 -0.22525 1.221233 0.396642 0.252031 -0.79086 0.632941 0.176526 -0.08586 1.203176 1.601735 1.471174 0.890658 0.318089 -0.54284 -1.70350 0.694977 0.581209 0.255949 0.444875 -1.52401 -1.22369 1.579785 1.430638 -1.12354 0.507190 1.266679 -0.30249 -2.11799 2.161308 -0.64971 0.656040 1.824132 1.012981 -0.18167 0.667354 1.036289 -0.63694 0.400601 -0.26624 -1.14865 -0.28133 -1.04487 0.097074 -0.20104 -1.00247 -0.45358 -2.14561 -2.36396 -1.09071 0.234067 -0.24485 -0.10394 0.798776 -0.11352 -0.52730 0.557788 -0.03209 0.780413 -0.85060 1.706892 -1.07074 -0.26379 1.439802 -0.95705 0.000547 0.662595 -1.29192 0.317573 1.664115 0.954180 0.775661 1.396079 -1.05767 0.368388 2.609669 0.083574 0.702958 0.635771 1.284480 -0.24208 1.890383 1.079300 0.713303 -0.74750 0.091361 -0.85879 0.167961 2.071657 1.130554 0.163430 0.585297 0.851185 -1.30159 -0.03994 -1.15548 -0.98993 0.870907 -0.81214 -0.24004 0.963996 -2.01943 -1.91875 -1.36198 -1.58242 -0.38946 -1.54456 -0.73273 -0.02530 -0.65159 -0.06227 -0.19171 -1.99363 0.410435 -1.71671 0.581560 -0.38941 -2.44954 0.025905 0.389097 -0.25806 0.138338 1.183930 -1.62180 -0.30216 -0.32720 0.643555 1.304706 0.680933 0.984866 -1.40211 1.255749 0.606834 2.884288 -0.39194 2.299882 -0.12279 2.285628 0.266665 1.240692 -0.21803 0.830752 0.185185 1.435040 1.937266 -1.68096 0.658784 -0.13246 0.279618 -1.11801 0.038985 sres 149 ) Data from file sres.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) N = 149 ) Data is highly correlated with first differences of ) sales data in data set sales (column 2 in ls2) -.921666e+00 -.896855e+00 -.133117e+01 -.947956e+00 .330478e+00 -.186327e+01 .958722e-01 -.746449e-01 .444444e+00 .190742e+00 -.429643e+00 -.623978e+00 .128382e+01 .158897e+01 .253376e+01 .418200e+01 .156402e+01 -.378081e+00 -.159951e+01 -.479028e+00 .305259e+01 .152817e+01 .170491e+01 .398875e+01 .257234e+01 .150031e+01 .359169e+01 .283946e+00 .714584e+00 -.218111e+01 -.854955e+00 -.232577e+01 -.292361e+01 -.110723e+01 -.445459e+00 -.233149e+01 -.262630e+01 -.176619e+01 -.395810e+01 -.199805e+01 -.768122e+00 .154331e-01 -.412812e+00 .384007e+00 .762058e+00 .414142e+01 .354476e+01 -.143832e+01 -.260254e+01 -.235491e+01 -.283742e+01 -.346635e+01 -.316475e+01 -.202164e+01 -.307930e+01 -.368111e+01 -.566649e+00 .110308e-01 -.141490e+01 -.259143e+01 -.234965e+01 .165083e+00 -.541823e+00 -.277193e+00 -.235165e+01 -.735874e+00 -.692730e-01 -.245300e+01 -.188396e+01 -.191397e+01 -.282322e-01 -.183352e+01 -.159005e+01 -.207453e+01 -.140440e+01 -.108645e+01 .864402e+00 .128997e+01 .109190e+01 -.202084e+00 .178399e+01 .926281e+00 .221934e+01 .193283e+01 .239689e+01 .221707e+01 .513176e+01 .371463e+01 .614228e+01 .499407e+01 .334931e+01 .466895e+01 .499505e+01 .344977e+01 .191661e+01 .789204e+00 .135430e+01 .122422e+00 -.162054e+00 .110297e+01 -.296824e+00 .339031e+00 .340725e+00 .741523e+00 -.256832e+01 -.303867e+01 -.661835e+00 .865848e+00 .290671e+00 .201778e+01 .123720e+01 .146686e+01 .147583e+01 .800616e-01 .101784e+01 .306278e+01 .633011e+00 .118019e+01 -.760188e+00 .419206e+00 -.102126e+01 -.190467e+01 -.212379e+01 -.152778e+01 -.264499e+01 -.137503e+01 -.872537e+00 -.133411e+01 -.115311e+01 -.667209e+00 .563296e+00 -.125288e+01 -.111454e+01 -.144893e+01 -.807591e+00 -.150331e+01 -.433368e+00 -.112575e+01 -.354239e+00 -.888221e+00 -.641539e+00 .137549e+01 .173247e+01 .220182e+01 .102452e+01 -.434052e+00 -.162607e+01 -.791600e+00 -.295709e+00 strikes 30 ) Data from file strikes.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Number of strikes in the USA 1951-1980 (thousands), N = 40 ) from Example 1.1.6, p. 4-5 4737 5117 5091 3468 4320 3825 3673 3694 3708 3333 3367 3614 3362 3655 3963 4405 4595 5045 5700 5716 5138 5010 5353 6074 5031 5648 5506 4230 4827 3885 sunspots 100 ) Data from file sunspots.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Wolfer annual sunspot numbers 1770-1869 ) Example 3.2.9, p. 97 ) Same as Series E, Box & Jenkins, P. 530, N = 100 101 82 66 35 31 7 20 92 154 125 85 68 38 23 10 24 83 132 131 118 90 67 60 47 41 21 16 6 4 7 14 34 45 43 48 42 28 10 8 2 0 1 5 12 14 35 46 41 30 24 16 7 4 2 8 17 36 50 62 67 71 48 28 8 13 57 122 138 103 86 63 37 24 11 15 40 62 98 124 96 66 64 54 39 21 7 4 23 55 94 96 77 59 44 47 30 16 7 37 74 uspop 21 ) Data from file uspop.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Population of the U.S.A.at 10 year intervals 1790-1990 ) Example 1.1.5, p. 4, 1.3.4 p. 9 3929214 5308483 7239881 9638453 12860702 17063353 23191876 31443321 38558371 50189209 62979766 76212168 92228496 106021537 123202624 132164569 151325798 179323175 203302031 226542203 248709873 wine 142 3 ) Data from file wine.dat distributed with Introduction to ) Time Series and Forecasting by Peter J. Brockwell and ) Richard A. Davis, Springer 1996 ) (C) 1996 Springer-Verlag New York, Inc. ) Australian red wine sales (thousands of litres) ) Monthly, Jan 80 - Oct 91 ) Examples 1.1.1, 6.2.1 ) Col. 1: Year (1980 - 1991) ) Col. 2: Month (1 = Jan, .., 12 = Dec.) ) Col. 3: Australian red wine sales (thousands of litres) 1980 1 464 1980 2 675 1980 3 703 1980 4 887 1980 5 1139 1980 6 1077 1980 7 1318 1980 8 1260 1980 9 1120 1980 10 963 1980 11 996 1980 12 960 1981 1 530 1981 2 883 1981 3 894 1981 4 1045 1981 5 1199 1981 6 1287 1981 7 1565 1981 8 1577 1981 9 1076 1981 10 918 1981 11 1008 1981 12 1063 1982 1 544 1982 2 635 1982 3 804 1982 4 980 1982 5 1018 1982 6 1064 1982 7 1404 1982 8 1286 1982 9 1104 1982 10 999 1982 11 996 1982 12 1015 1983 1 615 1983 2 722 1983 3 832 1983 4 977 1983 5 1270 1983 6 1437 1983 7 1520 1983 8 1708 1983 9 1151 1983 10 934 1983 11 1159 1983 12 1209 1984 1 699 1984 2 830 1984 3 996 1984 4 1124 1984 5 1458 1984 6 1270 1984 7 1753 1984 8 2258 1984 9 1208 1984 10 1241 1984 11 1265 1984 12 1828 1985 1 809 1985 2 997 1985 3 1164 1985 4 1205 1985 5 1538 1985 6 1513 1985 7 1378 1985 8 2083 1985 9 1357 1985 10 1536 1985 11 1526 1985 12 1376 1986 1 779 1986 2 1005 1986 3 1193 1986 4 1522 1986 5 1539 1986 6 1546 1986 7 2116 1986 8 2326 1986 9 1596 1986 10 1356 1986 11 1553 1986 12 1613 1987 1 814 1987 2 1150 1987 3 1225 1987 4 1691 1987 5 1759 1987 6 1754 1987 7 2100 1987 8 2062 1987 9 2012 1987 10 1897 1987 11 1964 1987 12 2186 1988 1 966 1988 2 1549 1988 3 1538 1988 4 1612 1988 5 2078 1988 6 2137 1988 7 2907 1988 8 2249 1988 9 1883 1988 10 1739 1988 11 1828 1988 12 1868 1989 1 1138 1989 2 1430 1989 3 1809 1989 4 1763 1989 5 2200 1989 6 2067 1989 7 2503 1989 8 2141 1989 9 2103 1989 10 1972 1989 11 2181 1989 12 2344 1990 1 970 1990 2 1199 1990 3 1718 1990 4 1683 1990 5 2025 1990 6 2051 1990 7 2439 1990 8 2353 1990 9 2230 1990 10 1852 1990 11 2147 1990 12 2286 1991 1 1007 1991 2 1665 1991 3 1642 1991 4 1525 1991 5 1838 1991 6 1892 1991 7 2920 1991 8 2572 1991 9 2617 1991 10 2047