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How close are pairwise and mutual independence?

Roger B. Nelsen and Manuel Úbeda-Flores

Statistics & Probability Letters, 2012, vol. 82, issue 10, 1823-1828

Abstract: Using the technique of finding bounds on sets of copulas with particular properties, we compare the distribution of an n-dimensional (n≥3) vector of continuous pairwise independent random variables to the distribution of a similar vector of mutually independent random variables. We examine the n=3 case in detail, and provide asymptotic results in the general case.

Keywords: Copula; Exchangeability; Mutual independence; Pairwise independence; Quasi-copula (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1016/j.spl.2012.06.006

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