Probability and Statistics Faculty
Department of Mathematics and Statistics
Bowling Green State University

Jim Albert , Ph.D. Purdue University (1979)

Research interests:

Selected publications:

• Bayesian regression analysis of binary and polychotomous response data, with S. Chib. Journal of the American Statistical Association, 88 (1993), 657-667.
• Exploring baseball hitting data: what about those breakdown statistics. Journal of the American Statistical Association, 89 (1993), 1066-1074.
• Bayesian residual analysis for binary response regression models, with S. Chib. Biometrika, 82 (1995), 747-759.
• Teaching Bayes' rule: a data-oriented approach. The American Statistician, 51 (1997), 247-253.
• Bayesian testing and estimation of association in a two-way contingency table. Journal of the American Statistical Association, 92 (1997), 685-693.

Hanfeng Chen, Ph.D. University of Wisconsin - Madison (1990)

Research interests:

Selected publications:

• W. Deng, H. Chen, and Z. Li, A logistic regression mixture model for interval mapping of genetic trait loci affecting binary phenotypes. Genetics (2005), to appear.
• Z. Chen and H. Chen, On some statistical aspects of the interval mapping for QTL detection. Statistica Sinica 15 (2005), 909-925.
• H. Chen, J. Chen, and J. D. Kalbfleisch, Testing for a finite mixture model with two components. Journal of Royal Statistical Society, Ser. B 66 (2004), 95-115.
• H. Chen, J. Chen, and J. D. Kalbfleisch, A modified likelihood ratio test for homogeneity in finite mixture models. Journal of Royal Statistical Society, Ser. B, 63 (2001), 19-29.
• H. Chen, Tests following transformations. The Annals of Statistics 23 (1995), 1587-1593.

John Chen, Ph.D. University of Sydney (1997)

Research interests:

Selected publications:

• Seneta E. and Chen J. T. (2005) Simple stepwise tests of hypotheses and multiple comparisons. International Statistical Review, 73, 1, 21-34.
• Chen J.T. and Hoppe F.M. (2004) A connection between successive comparisons and ranking procedures. Statistics and Probability Letters, 67, 19-25.
• Chen J.T., Gupta A.K. and Nguyen T.T. (2004) The density of the skew normal sample mean and its applications. Journal of Statistical Computation and Simulation, 74, 7, 487-494.
• Chen, J.T. (2003) A lower bound using Hamilton-type circuit and its applications. Journal of Applied Probability, 40, 1121-1132.
• Nguyen T.T., Chen J.T., Gupta A.K. and Dinh K.T. (2003) A proof of the conjecture on positive skewness of generalized inverse Gaussian distributions. Biometrika, 90, 245-250.

Arjun K. Gupta, Ph.D. Purdue University (1968)

Research interests:

Selected publications:

• Multivariate skew t-distribution, Statistics, 37(2003), 359-363.
• Information-Statistical Data Mining (with Sy). Kluwer Academic Publishers, Boston, p. 289, (2004).
• Statistical inference of covariance change points in Gaussian model (with Jie Chen), Statistics, 38(2004), 17-28.
• Additive properties of skew normal random vectors (with Gonzalez-Farias and Dominguez-Molina), J. Statistical Planning and Inference,126 (2004),521-534.
• Testing for affine equivalence of elliptically symmetric distributions (with Henze and Klar), J. Multivariate Analysis, 88(2004), 222-242
• Estimation of the eigenvalues of noncentrality parameter matrix in noncentral Wishart distribution( with Sheena and Fujukoshi ), J.Multivariate Analysis ,93(2005 ),1-20.

Truc T. Nguyen, Ph.D. University of Pittsburgh (1982)

Research interests:

Selected publications:

• A proof of the conjecture on positive skewneness of generalised inverse Gaussian distribution. Biometrika 90, 245-250 (2003). With Chen, Gupta and Dinh
• Exact EDF goodness-of-fit test for inverse Gaussian distributions. Comm. Statist. Simul. and Comp. 32, 505-516 (2003). With Dinh
• Characterization of normal distributions and EDF goodness-of-fit tests. Metrika 58, 149-157 (2003). With Dinh
• A regression characterization of inverse Gaussian distribution and application to EDF goodness-of-fit tests. Inter. J. Math. and Math. Sciences 9, 587-592 (2003) With Dinh
• Characterization of the skew-normal distribution. Ann. Inst. Statist. Math. 56, 351-360 (2004) With Gupta and Sanqui.

Junfeng Shang, Ph.D. University of Missouri (2005)

Research interests:

Selected publications:

• A diagnostic for assessing the influence of cases on the prediction of random effects in a mixed model. Cavanaugh, JE and Shang, J (2005). Journal of Data Science 3(2): 137-151.
• Bootstrap variants of AIC for mixed model selection. Shang, J and Cavanaugh, JE. In preparation.
• Multiple comparison procedures for order restricted mixed models. Shang, J , Wright, FT, and Cavanaugh, JE. In preparation.

Gabor J. Szekely, Ph.D. Eotvos L. University, Budapest (1971)

Research interests:

Selected publications:

• Statistics for the 21st Century (Ed. with C. R. Rao), Dekker, New York, 2000.
• Paradoxes in Probability Theory and Mathematical Statistics, Reidel-Kluwer, Dordrecht-Boston, Mass. 1986, (German and Russian translations were published in 1990).
• A new test for multivariate normality (with M. Rizzo), Journal of Multivariate Analysis 93, 58-80, 2005.
• Fermat's last theorem for rational exponents (with. C. D. Bennett and A. M. W. Glass), The American Math. Monthly 11/4, 322-329, 2004.
• Extremal probabilities for Gaussian quadratic forms (with N. K. Bakirov), Probability Theory and Related Fields, 126, 184-202, 2003.

Craig Zirbel, Ph.D. Princeton University (1993)

Research interests:

Selected publications:

• Discrete velocity fields with explicitly computable Lagrangian law', with Curtis D. Bennett. Journal of Statistical Physics, 111, 2003, 681-701.
• Rotation of particles in polarized Brownian flows', with Wojbor A. Woyczynski. Stochastics and Dynamics, 2, 2002, 109-129.
• Lagrangian observations of homogeneous random environments Advances in Applied Probability, 33, 2001, 810-835.
• A mean-field statistical theory for the nonlinear Schr\"{o}dinger equation, with Richard Jordan and Bruce Turkington. Physica D, 137, 2000, 353-378.
• Mean occupation times of continuous one-dimensional Markov processes' Stochastic Processes and their Applications, 69, 1997, 161-178.

Retired faculty members

• Eugene Lukacs moved the Statistical Laboratory at Catholic University to BGSU in 1972, and retired in 1976. He died in Washington D.C. in 1987. His primary interest was in the theory of characteristic functions.
• Vijay Rohatgi came in 1972 with Lukacs. He was student of C. C. Heyde at Michigan State in 1967. He retired in 1997, and now resides in Washington D.C.
• Radha Laha, a student of C. R. Rao at Calcutta University in 1957, also came to the department in 1972 from Catholic University. He retired in 1996 and died in 1999.
• Thomas Hern, a student of Jesse Shapiro at Ohio State, joined the department in 1969 and retired in 1998. He is still teaching at BGSU. His work was in infinitely divisible and stable laws.
• Richard Eakin left the department to eventually become Chancellor of East Carolina University, Greenville, North Carolina. He earned his Ph.D. from Washington State in combinatorics in 1964.

Return to Math & Stat Home Page / BGSU Welcome Page