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

Baker, RD ORCID: https://orcid.org/0000-0003-3555-3425 2008, 'An order-statistics-based method for constructing multivariate distributions with fixed marginals' , Journal of Multivariate Analysis, 99 (10) , pp. 2312-2327.

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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.

Item Type:	Article
Themes:	Subjects outside of the University Themes
Schools:	Schools > Salford Business School > Salford Business School Research Centre
Journal or Publication Title:	Journal of Multivariate Analysis
Publisher:	Elsevier
Refereed:	Yes
ISSN:	0047-259X
Depositing User:	Prof Rose Dawn Baker
Date Deposited:	24 Nov 2011 11:56
Last Modified:	16 Feb 2022 13:35
URI:	https://usir.salford.ac.uk/id/eprint/19017

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