### 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