Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
qr-code QR
Code

Article

HOME ALL ARTICLES View

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.

On characterizing the gamma and the beta $q$-distributions

Imen Boutouria, Imed Bouzida, Afif Masmoudi

Sfax University, Sfax University, Sfax University

Abstract

Go to

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

Article Tools

Stats or Metrics

Share this article on :

Related articles in BKMS