On the k-gamma q-distribution
Rafael Diaz, Camilo Ortiz, and Eddy Pariguan
TL;DR
This paper explores the q-analogue of the k-gamma distribution, offering combinatorial and probabilistic interpretations, and introduces q-analogues of the Mellin transform to analyze its properties.
Contribution
It provides new combinatorial and probabilistic insights into the q-analogue of the k-gamma distribution and develops q-analogues of the Mellin transform for its study.
Findings
Combinatorial interpretation of the q-analogue of the Pochhammer k-symbol
Probabilistic interpretation of the q-analogue of the k-gamma distribution
Introduction of q-analogues of the Mellin transform for analysis
Abstract
We provide combinatorial as well as probabilistic interpretations for the q-analogue of the Pochhammer k-symbol introduced by Diaz and Teruel. We introduce q-analogues of the Mellin transform in order to study the q-analogue of the k-gamma distribution.
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Taxonomy
TopicsBayesian Methods and Mixture Models · Advanced Mathematical Identities · Mathematical functions and polynomials