Multivariate power series interpoint distances

Reza Modarres () and Yu Song
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Reza Modarres: George Washington University
Yu Song: George Washington University

Statistical Methods & Applications, 2020, vol. 29, issue 4, No 13, 955-982

Abstract: Abstract We establish (a) the probability mass function of the interpoint distance (IPD) between random vectors that are drawn from the multivariate power series family of distributions (MPSD); (b) obtain the distribution of the IPD within one sample and across two samples from this family; (c) determine the distribution of the MPSD Euclidean norm and distance from fixed points in $${\mathbb {Z}}^d$$ Z d ; and (d) provide the distribution of the IPDs of vectors drawn from a mixture of the MPSD distributions. We present a method for testing the homogeneity of MPSD mixtures using the sample IPDs.

Keywords: MPSD family; Interpoint distance; Normand mixtures; 62H10; 62E15; 62H15 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10260-020-00508-8

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