Simulating multivariate distributions with specific correlations
The mixture approach for simulating bivariate distributions introduced by Michael, J. R. and Schucany, W. R. (2002). The mixture approach for simulating bivariate distributions with specific correlations. The American Statistician, 56, 48-54, is generalized to generate pseudo-random numbers from multivariate distributions. The simulated joint distributions have identical marginals and equal positive pairwise correlations. The approach is illustrated for the p-dimensional families of beta and gamma distributions. For these families the formulas for the correlations have simple closed forms and the computations are quite simple.
Keywords: Beta distribution; Conjugate prior; Dependent; Exchangeable; Gamma distribution; Generating random variables; Joint distribution; Mixture method
Document Type: Research Article
Publication date: 01 August 2004
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