Grzegorz A. Rempala, PhD

Professor


PhD (Statistics), Bowling Green State University, 1996

Research Interests:  Modeling and inference for complex stochastic systems; Mathematical and statistical aspects of Bioinformatics; Applications of statistical methods in molecular biology and cancer epidemiology; Stochastic modeling for gene expression analysis; Occupational cohort studies; Machine learning; Nonparametric estimation theory; Subsampling and resampling methods.


Teaching Areas:  Probability theory, statistical inference, algebraic statistical models in comparative genomics, math models in system biology, non-parametric inference, advanced computational methods.

Selected Publications: 

Rempala, G. and Pawlikowska, I. Limit Theorems for Hybridization Reactions on Oligonucleotide Microarrays. Manuscript, May 2006. Journal of Multivariate Analysis 2008 In press; DOI:10.1016/j.jmva.2008.02.014

Czajkowski, M, Gill, R, and Rempala, GA Model Selection in Logistic Joinpoint Regression with Applications to Analyzing Cohort Mortality Patterns. Statistics in Medicine 2008 In press; DOI: 10.1002/sim.3034

Rempala, GA. Ramos K, Kalbfleisch, T, and Teneng, I. Validation of a Mathematical Model of Gene Transcription in Aggregated Cellular Systems: Application to L1 Retrotransposition. Journal of Computational Biology 14(3): 339–349 (2007).

Amar V. Singh, Eric Rouchka, G. Rempala, Caleb Bastian, and Thomas B. Knudsen. Integrative database management for mouse development: Systems and concepts. Birth Defects Research (Part C), 81, 1–19 (2007).

P. Bai, H.T. Banks, S. Dediu, A.Y. Govan, M. Last, A. Lloyd, H.K. Nguyen, M.S. Olufsen, GA. Rempala, and BD Slenning. Stochastic and deterministic models for agricultural production networks. Mathematical Biosciences and Engineering, 4(3):140, (2007).

Rempala, G. Ramos, K. and Kalbfleisch, T. A Stochastic Model of Gene Transcription: An Application to L1 Retrotransposition Events. Journal of Theoretical Biology 242 (1), 101–116 (2006).

Ball, K., Kurtz, T., Popovic L., and Rempala, G. Multiscale stochastic approximations for biochemical reaction networks. Annals of Applied Probability 16(4), 1925–1961 (2006).

Gonchigdanzan, K. and Rempala, G. Almost sure limit theorem for the product of partial sums. Applied Mathematics Letters, 19(2), 191–196 (2006).

Rempala, G. and Looney, Stephen Asymptotic properties of a two sample randomized test for partially dependent data. Journal of Statistical Planning and Inference, 136(1) , 68–89 (2006).

Rempala G. and Wesolowski, J. Asymptotics for products of independent sums with an application to Wishart determinants. Statistics and Probability Letters, 74(2), 129–138 (2005).

Rempala, G. and Derrig, Richard. Hidden exposures and EM algorithm North American Actuarial Journal, 9(2), 108–128 (2005).

Rempala, G. and Wesolowski, J. Approximation theorems for random permanents and associated stochastic processes. Probability Theory and Related Fields, 131(3), 442–458 (2005)

Rempala, and G. Wesolowski, J. Limit theorems for random permanents for matrices of exchangeable columns. Journal of Multivariate Analysis, 91, 224–239 (2004).

Rempala, G. and Srivastav, S. Minimum variance rectangular design for U-statistics. Journal of Statistical Planning and Inference, 120 (1-2), 103–118 (2004).

Rempala, G. Factorial power expansions for binomial and negative binomial reciprocals. Proceedings of the Amer. Math. Soc., 132 261–271 (2004).

Lewis, R. and Rempala, G. A case-cohort study of angiosarcoma of the liver and brain cancer at a polymer production plant Journal of Occupational and Environmental Medicine, 45 538–545 (2003).

Rempala, G and Wesolowski, J. Incomplete U-statistics of permanent design. Journal of Nonparametric Statistics 15 no. 2, 221–236 (2003).

Lewis, R. Rempala, G., Mundt, C., and Dell, L. Vinyl chloride and liver and brain cancer at a polymer production plant in Louisville, Kentucky. Journal of Occupational and Environmental Medicine 45, 533–537 (2003).

Rempala, G. and Derrig, R. EM Algorithm and Detecting Hidden Risks in Actuarial Practice. Forum of the Casualty Actuarial Society, Winter, 75–101 (2003).

Rempala, G. and K. Szatschneider. Bootstrapping mortality tables. Scandinavian Actuarial Journal, no 1: 53–78 (2004).

Rempala, G. and Wesolowski, J. Strong law of large numbers for random permanents. Probab. Math. Statist., 22(2), 201–209 (2002).

Komendarczyk, Rafal and Rempala, G. Multivariate Cuzick test. Journal of Nonparametric Statistics, 14 no. 4, 367–382 (2002).

Rempala, G. and Wesolowski, J Asymptotics for Products of Sums and U-statistics. Electronic Communications in Probability,7 47–54 (2002).

Rempala, G. and Wesolowski, J Central limit theorem for random permanents for matrices with correlation structure. Journal of Theoretical Probability 14 no. 4, 1097–1110 (2001).

Rempala, G. The martingale decomposition and approximation theorems for a generalized permanent function. Demonstratio Mathematicae 33 no 2, 431–446 (2001).

Derrig, R., Rempala, G., and Ostaszewski, K. Resampling Methods in Actuarial Science. Proceedings of the Casualty Actuarial Society 2000; vol 87, pp 322-364

Rempala, G. and Gupta A.K Limiting behavior of elementary symmetric polynomials of increasing order. Random Operators and Stochastic Equations 8, no. 1, 39–50 (2000).

Rempala, G. and Gupta A.K Some limit theorems for permanents of random matrices. Random Operators and Stochastic Equations 8, no. 4, 1–14 (2000).

Rempala, G. and Wesolowski, J Limiting behavior of random permanents. Statistics and Probability Letters 45, 149–158 (1999).

Rempala, G. and Gupta A.K.Weak limits of U-statistics of infinite order. Random Operators and Stochastic Equations 7, no. 1, 39–53 (1999).

Rempala, G. and Derrig, R. and Ostaszewski, K. Applications of Resampling Methods in Dynamic Financial Analysis Casualty Actuarial Society Forum May 1998

Rempala, G. SLLN for U-statistics of varying order. Statistics and Probability Letters 39, no. 4, 263–220 (1998).

Rempala, G. and Sz´ekely, G.J On estimation with elementary symmetric polynomials. Random Oper. Stochastic Equations 6, no. 1, 77–88 (1998).

Rempala, G. Asymptotic behavior of random permanents. Random Operators and Stochastic Equations 4, no. 1, 33–45 (1996).

Rempala, G. andWesolowski, J. and Nguyen, T.T Non-Gaussian Measures with Gaussian Structure. Probab. Math. Statist. 16, no. 2, 287–298 (1996).

Rempala, G. and Seredynski, F Approach to optimal task allocation by a Boltzmann machine. Arch. Inform. Teor. Stosow. 4. no.1-4, 87–95 (1992).

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