On multivariate discrete q-Distributions-A multivariate q-Cauchy’s formula

Malvina Vamvakari

Communications in Statistics - Theory and Methods, 2020, vol. 49, issue 24, 6080-6095

Abstract: The main objective of this work is to introduce multivariate discrete q-distributions. We consider the Heine process {Xq(t),t>0}, 0 0, represents the number of events during a time interval (0,t] and we reveal a multivariate discrete q-distribution related to the absorption distribution. By this multivariate discrete q-distribution, we introduce a multivariate absorption distribution and a multivariate q-hypergeometric distribution. Also, we deduce by a probabilistic proof a multivariate q-Cauchy’s formula and then a multivariate q-Vandermonde’s formula.

Date: 2020
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DOI: 10.1080/03610926.2019.1626427

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