Bull. Korean Math. Soc. 2018; 55(5): 1563-1575
Online first article May 2, 2018 Printed September 30, 2018
https://doi.org/10.4134/BKMS.b170894
Copyright © The Korean Mathematical Society.
Imen Boutouria, Imed Bouzida, Afif Masmoudi
Sfax University, Sfax University, Sfax University
In this paper, our central focus is upon gamma and beta $q$-distributions from a probabilistic viewpoint. The gamma and the beta $q$-distributions are characterized by investing the nature of the joint $q$-probability density function through the $q$-independence property and the $q$-Laplace transform.
Keywords: $q$-calculus, $q$-Laplace transform, gamma $q$-distribution, beta $q$-distribution
MSC numbers: 60A05, 33E20
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