# David B. Dunson

- Arts and Sciences Professor of Statistical Science

**External address:**218 Old Chemistry Bldg, Durham, NC 27708

**Internal office address:**Box 90251, Durham, NC 27708-0251

**Phone:**(919) 684-8025

Development of Bayesian statistical methods and approaches for uncertainty quantification motivated by applications with complex and high-dimensional data. A particular interest is in high-dimensional low sample size data in which it is necessary to incorporate dimensional reduction through carefully designed prior distributions and challenges arise in efficiently computing posterior approximations. Ongoing focus areas include new algorithms for approximating posterior distributions in big data settings, nonparametric Bayes probability modeling allowing for uncertainty in distributional assumptions, analysis of network data, incorporating physical and geometric prior knowledge in modeling and novel models for dimension reduction for "object data" (functions, tensors, shapes, etc). Primary application areas include genomics, neurosciences, epidemiology, and reproductive studies but with much broader interests in developing new methods motivated by difficult applications (in art, music, radar, imaging processing, etc).

Wilcox, AJ, Dunson, D, and Baird, DD. "The timing of the 'fertile window' in the menstrual cycle: Day specific estimates from a prospective study." *British Medical Journal* 321.7271 (2000): 1259-1262.

Dunson, DB, and Zhou, H. "A Bayesian Model for Fecundability and Sterility." *Journal of the American Statistical Association* 95.452 (2000): 1054-1062.

Dunson, DB, and Weinberg, CR. "Accounting for unreported and missing intercourse in human fertility studies." *Statistics in Medicine* 19.5 (2000): 665-679.
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Weinberg, CR, and Dunson, DB. "Some Issues in Assessing Human Fertility." *Journal of the American Statistical Association* 95.449 (2000): 300-303.

Dunson, DB, and Weinberg, CR. "Modeling human fertility in the presence of measurement error." *Biometrics* 56.1 (2000): 288-292.

Dunson, DB, Haseman, JK, Birgelen, APJMV, Stasiewicz, S, and Tennant, RW. "Statistical analysis of skin tumor data from Tg.AC mouse bioassays." *Toxicological Sciences* 55.2 (2000): 293-302.

Dunson, DB, and Haseman, JK. "Modeling tumor onset and multiplicity using transition models with latent variables." *Biometrics* 55.3 (1999): 965-970.

Dunson, WA, and Dunson, DB. "Factors influencing growth and survival of the killifish, Rivulus marmoratus, held inside enclosures in mangrove swamps." *Copeia* 3 (1999): 661-668.

Dunson, DB, Weinberg, CR, Perreault, SD, and Chapin, RE. "Summarizing the motion of self-propelled cells: Applications to sperm motility." *Biometrics* 55.2 (1999): 537-543.

Dunson, DB, Baird, DD, Wilcox, AJ, and Weinberg, CR. "Day-specific probabilities of clinical pregnancy based on two studies with imperfect measures of ovulation." *Human Reproduction* 14.7 (1999): 1835-1839.
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