An order-statistics-based method for constructing multivariate distributions with fixed marginals

Rose Baker

Journal of Multivariate Analysis, 2008, vol. 99, issue 10, 2312-2327

Abstract: A new system of multivariate distributions with fixed marginal distributions is introduced via the consideration of random variates that are randomly chosen pairs of order statistics of the marginal distributions. The distributions allow arbitrary positive or negative Pearson correlations between pairs of random variates and generalise the Farlie-Gumbel-Morgenstern distribution. It is shown that the copulas of these distributions are special cases of the Bernstein copula. Generation of random numbers from the distributions is described, and formulas for the Kendall and grade (Spearman) correlations are given. Procedures for data fitting are described and illustrated with examples.

Keywords: 62Exx; Farlie-Gumbel-Morgenstern; distribution; Marginal; distribution; Copula.; Bernstein; polynomials; Bezier; surface (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (21)

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