My research has mainly focused on the use of Bayesian statistical methods for solving complex scientific problems. The theoretical aspects of my research include Bayesian asymptotics for nonparametric statistical inference and Bayesian testing and model selection. On the methodological side, I am interested in Bayesian hierarchical modeling, optimal design, copulas and multiple comparisons. I have also participated in cross-disciplinary studies in toxicology, and environmental health assessment and pharmacokinetic modeling from Bayesian perspectives.

Publications

▪  Choi, T.  (2008)   "Convergence of posterior distribution in the mixture of regressions", accepted by Journal of Nonparametric Statistics

▪  Choi, T.  (2008)   "Asymptotic properties of posterior distributions in nonparametric regression with non-Gaussian errors", Annals of the Institute of Statistical Mathematics, to appear

▪  Choi, T.  and Ramamoorthi, R.V. (2007) "Remarks on Consistency of Posterior Distributions", to appear for IMS Lecture notes, Pushing the Limits of Contemporary Statistics : Contributions in Honor of Jayanta K. Ghosh. 

▪  Choi, T. and Schervish, M. J. (2007) "On posterior consistency in nonparametric regression problems", Journal of Multivariate Analysis,  volume 98, Issue 10,  1969-1987

▪  Choi, T.  (2007) "Alternative posterior consistency results in nonparametric binary regression using Gaussian process priors.", Journal of Statistical Planning and Inference, volume 137, Issue 9, 2975-2983

▪  Choi, T., Schervish, M. J., Schmitt, A. K. and Small, M. J. (2007)   "A Bayesian approach to logistic regression model with incomplete information", Biometrics, to appear (available from OnlineEarly Articles)

▪  Choi, K., Kim, D. and Choi, T. (2006)   "Estimating the number of clusters using a multivariate location test statistics", Springer Lecture note in Computer Science (LNCS-LNAI 4223), Fuzzy Systems and Knowledge Discovery, 373-382, Volume 4223

Under Revision

▪  Choi, T., Schervish, M. J., Schmitt, A. K. and Small, M. J. (2008) "Bayesian analysis for fitting multiple health endpoints in a toxicity study", under revision for Journal of Agricultural, Biological and Environmental Statistics.

Submitted

▪  Choi, T., Lee, J., Roy, A. (2008) "A note on the Bayes factor in a semiparametric regression model" submitted

In Progress

▪  Choi, T., Kim, J.M., Sungur, E.and Heo, T.Y. (2008)   "A Generalization of Iterated Farlie-Gumbel-Morgenstern Copulas" manuscript to be submitted

▪   Choi, T. and Shi, J. Q. "Consistency in hierarchical mixture of Gaussian process regression"

▪  Choi, T., Kim, J. E., and Schmitt, A. K. "A Bayesian approach to ANCOVA model with incomplete information"

In Preparation

▪  Choi, T. and Wang, X.  "Bayesian inference for partially linear single index model"

▪  Choi, T. and Park, T.  "Bayesian variable selection in semiparametric regression model"

▪  Large sample analysis in Bayesian semiparametric / nonparametric models

▪  Developing Bayesian approach to Copulas

▪  Curve estimation based on multiple comparison (Bayes / Empirical Bayes)

▪  Bayesian Optimal Sequential Design with GLM