Autori: Modarres, Reza , Song, Yu
Titolo: Multivariate power series interpoint distances
Periodico: Statistical methods & applications : Journal of the Italian Statistical Society
Anno: 2020 - Volume: 29 - Fascicolo: 4 - Pagina iniziale: 955 - Pagina finale: 982

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 Zd; 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


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SICI: 1618-2510(2020)29:4<955:MPSID>2.0.ZU;2-O

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