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