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Research

I am interested in empirical process theory and its applications, and nonparametric estimation/inference (in particular, in contexts of estimation/inference for functions satisfying shape-constraints). Here is my CV.

Papers

A nonparametric doubly robust test for a continuous treatment effect (with Guangwei Weng*, Lan Wang, Ira Moscovice, and Tongtan Chantarat*). Revising for The Annals of Statistics. (arXiv)

Albrecht, A.*, Doss, C. R., and Nachtsheim, C. J. Discrete choice experimental design using a tournament framework. Resubmitted to The Journal of the American Statistical Association (T & M).

Olawsky, E.*, McFowland III, E., Doss, C. R. (2021+). Non-parametric subset scanning for detection of heteroscedasticity. To appear in the The Journal of Computational and Graphical Statistics.

Balabdaoui, F., Doss, C. R., and Durot, C. (2021) Unlinked monotone regression. The Journal of Machine Learning Research. 22 (172). (arXiv)

Molstad, A. J.*, Weng, G.*, Doss, C. R., and Rothman A.J. (2021) An explicit mean-covariance parameterization for multivariate response linear regression. The Journal of Computational and Graphical Statistics. 30(3):612--621. (arXiv)

Doss, C. R. (2020). Bracketing numbers of convex and $m$-monotone functions on polytopes. The Journal of Approximation Theory. 256 105425. (arXiv)

Doss, C. R. and Wellner, J. A. (2019). Univariate log-concave density estimation with symmetry or modal constraints. The Electronic Journal of Statistics, 13(2):2391--2461. (arXiv, CRAN:logcondens.mode)

Doss, C. R. and Wellner, J. A. (2019). Inference for the mode of a log-concave density. The Annals of Statistics, 47(5):2950--2976. (arXiv, CRAN:logcondens.mode)

Doss, C. R. (2018). Concave regression: value-constrained estimation and likelihood ratio-based inference. Mathematical Programming, 174(1-2):5--39. (arXiv)

Doss, C. R. and Weng, G.* (2018). Bandwidth selection for kernel density estimators of multivariate level sets and highest density regions. The Electronic Journal of Statistics, 12:4313--4376. (arXiv, CRAN: lsbs)

Balabdaoui, F. and Doss, C. R. (2018). Inference for a mixture of symmetric distributions under log-concavity. Bernoulli, 24:1053-1071. (arXiv)

Doss, C. R. and Wellner, J. A. (2016). Global rates of convergence of the MLEs of log-concave and s-concave densities. The Annals of Statistics, 44:954-981. (arXiv)

Doss, C. R., Flegal, J. M., Jones, G.L., and Neath, R. C. (2014). Markov chain Monte Carlo estimation of quantiles. The Electronic Journal of Statistics, 8:2448-2478. (arXiv)

Doss, C. R., Suchard, M. A., Holmes, I., Kato-Maeda, M., and Minin, V.N. (2013) Fitting Birth-Death processes to panel data with applications to bacterial DNA fingerprinting. The Annals of Applied Statistics. 7:2315-2335. (arXiv, CRAN:DOBAD)

In Preparation

Minimax rates of convergence for s-concave density estimation in Rd (with Chenglong Ye*).

Estimating a strongly log-concave density (with Hanna Jankowski).

On the asymptotics of convex stochastic optimization (with Charles Geyer)

Doubly robust pointwise confidence intervals for a monotonic continuous treatment effect curve.

Applied

Griffing, D., Larson, S., Hollander, J., Christiansen, J., and Doss, C.R. (2014). Observations on abundance of bluntnose sixgill sharks, Hexanchus griseus, in an urban waterway in Puget Sound, 2003-2005. PloS one 9.1:e87081.

The * denotes student coauthors.

 

 

Service

Associate Editor, The Electronic Journal of Statistics, 2022--present

Associate Editor, The American Statistician, 2020--present

 

 

Funding (as sole PI)

NSF DMS-2210312 grant; July 1 2022 to June 30 2025

University of Minnesota (College of Liberal Arts) Warwick Mid-Career Faculty Research Award; March 2022 to December 2023

NSF DMS-1712664 grant; July 1 2017 to June 30 2020

University of Minnesota Grant-in-Aid ; 2016--2017