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http://dx.doi.org/10.4134/BKMS.b170894

ON CHARACTERIZING THE GAMMA AND THE BETA q-DISTRIBUTIONS  

Boutouria, Imen (Laboratory of Probability and Statistics Sfax University)
Bouzida, Imed (Laboratory of Probability and Statistics Sfax University)
Masmoudi, Afif (Laboratory of Probability and Statistics Sfax University)
Publication Information
Bulletin of the Korean Mathematical Society / v.55, no.5, 2018 , pp. 1563-1575 More about this Journal
Abstract
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;
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