Case studies in multivariate-to-anything transforms for partially specified random vector generation

Insurance: Mathematics and Economics - Tập 37 - Trang 68-79 - 2005
Stephen Stanhope1
1Department of Statistics, UW-Madison, Medical Sciences Center, 1300 University Ave., Madison, WI 53703, USA

Tài liệu tham khảo

Angus, 1994, The probability integral transform and related results, SIAM Rev., 36, 652, 10.1137/1036146 Cairo, M., Nelson, B., 1997. Modeling and generating random vectors with arbitrary marginal distributions and correlation matrix. Technical Report, Department of Industrial Engineering and Management Sciences, Northwestern University, Evanston, IL. Chen, 2001, Initialization for NORTA: generation of random vectors with specified marginals and correlations, INFORMS J. Comput., 13, 312, 10.1287/ijoc.13.4.312.9736 Chen, H., Schmeiser, B., 1994. Retrospective approximation algorithms for stochastic root finding. In: Proceedings of the 1994 Winter Simulation Conference, IEEE Press, Piscataway, NJ, 255–261. Chen, 2001, Stochastic root finding via retrospective approximation, IIE Trans., 33, 259, 10.1080/07408170108936827 Clemen, 1999, Correlations and copulas for decision and risk analysis, Manage. Sci., 45, 208, 10.1287/mnsc.45.2.208 DeGroot, 1970 Evans, 1993 Flury, 1990, Acceptance–rejection sampling made easy, SIAM Rev., 32, 474, 10.1137/1032082 Gentle, 2002 Ghosh, 2003, Behavior of the NORTA method for correlated random vector generation as the dimension increases, ACM Trans. Model. Comput. Simul., 13, 276, 10.1145/937332.937336 Lange, 1999 Li, 1975, Generation of pseudorandom numbers with specified univariate distributions and correlation coefficients, IEEE Trans. Syst. Man Cybernet., 5, 557, 10.1109/TSMC.1975.5408380 Lurie, 1998, An approximate method for sampling correlated random variables from partially specified distributions, Manage. Sci., 44, 203, 10.1287/mnsc.44.2.203 Mardia, 1970, A translation family of bivariate distributions and Frechet's bounds, Sankhya A, 32, 119 Matsumoto, 1998, Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator, ACM Trans. Model. Comput. Simul., 8, 3, 10.1145/272991.272995 McGrath, E., 1973. Techniques for Efficient Monte Carlo Simulation, vol. 2. Random Number Generation for Selected Probability Distributions. Report SAI-72-590-LJ, Office of Naval Research. Mood, 1974 Moonan, 1957, Linear transformation to a set of stochastically dependent normal variables, J. Am. Stat. Assoc., 52, 247, 10.2307/2280849 Niederreiter, 1992 Press, 1997 Schmeiser, 1982, Bivariate gamma random vectors, Operation Res., 30, 355, 10.1287/opre.30.2.355 Stanhope, 2004, Evolutionary strategies in multivariate-to-anything partially specified random vector generation Stanhope, S. Simulating Repeated Channel Microarray Experiments with Correlated, Gamma Distributed Gene Expressions by an Approximate Partially Specified Approach, in preparation. Tong, Y., 1980. Probability Inequalities in Multivariate Distributions. Academic Press, New York, NY, pp. 78–85. Tong, Y., 1990. The Multivariate Normal Distribution. Springer-Verlag, New York, NY, pp. 19–20.