Sets of random variables with a given uncorrelation structure
Let [xi]1,...,[xi]n be random variables having finite expectations. DenoteThe finite sequence (i2,...,in) is called the uncorrelation structure of [xi]1,...,[xi]n. It is proved that for any given sequence of nonnegative integers (i2,...,in) satisfying and any given nondegenerate probability distributions P1,...,Pn there exist random variables [eta]1,...,[eta]n with respective distributions P1,...,Pn such that (i2,...,in) is their uncorrelation structure.
Volume (Year): 55 (2001)
Issue (Month): 4 (December)
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- Stoyanov, Jordan, 1995. "Dependency measure for sets of random events or random variables," Statistics & Probability Letters, Elsevier, vol. 23(1), pages 13-20, April.
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