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Research

My research has focused on problems related to nonparametric estimation and inference for functions and their parameters when the functions satisfy shape-constraints, such as concavity/convexity or log-concavity. I have also been interested in linear birth-death processes and applications of tools from empirical process theory. Here is my CV.

Papers

Doss, C. R. Concave regression: value-constrained estimation and likelihood ratio-based inference. Submitted.

Doss, C. R. and Wellner, J. A. Mode-constrained estimation of a log-concave density. Submitted. (arXiv, CRAN:logcondens.mode)

Doss, C. R. and Wellner, J. A. Inference for the mode of a log-concave density. Submitted. (arXiv, CRAN:logcondens.mode)

Doss, C. R. Bracketing entropy of convex functions on polytopes. Submitted. (arXiv)

Balabdaoui, F. and Doss, C. R. (2016). Inference for a mixture of symmetric distributions under log-concavity. To appear in Bernoulli. (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)

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.

 

 

Funding

NSF DMS-1712664 grant; $99,842; July 1 2017 to June 30 2020