Invariance and independence in multivariate distribution theory

A. P. Dawid

Journal of Multivariate Analysis, 1985, vol. 17, issue 3, 304-315

Abstract: Several general results are presented whereby various properties of independence or conditional independence between certain random variables may be deduced from the symmetries enjoyed by their joint distributions. These are applied to the distributions of sample correlation and canonical correlation coefficients when the underlying data-distribution has suitable orthogonal invariance. A typical result is that, for a random sample of observations on three independent normal variables, r12, r13, and r23.1 are mutually independent.

Keywords: invariance; spherical; symmetric; distributions (search for similar items in EconPapers)
Date: 1985
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Citations: View citations in EconPapers (2)

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