Abstract
ABSTRACTWe establish (a) the probability mass function (p.m.f.) of the interpoint distance (IPD) between random vectors drawn from the unified multivariate hypergeometric (UMHG) family of distributions; (b) obtain the distribution of the IPD within one sample and across two samples from this family; (c) determine the distribution of the UMHG Euclidean norm and distance from fixed point in ; and (d) provide the distribution of the IPDs of vectors drawn from a mixture of the UMHG distribution. For application, we present a test the homogeneity of multivariate hypergeometric samples against mixture alternatives.
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