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On characterizing the gamma and the beta $q$-distributions
Imen Boutouria,Imed Bouzida,Afif Masmoudi 대한수학회 2018 대한수학회보 Vol.55 No.5
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.
ON CHARACTERIZING THE GAMMA AND THE BETA q-DISTRIBUTIONS
Boutouria, Imen,Bouzida, Imed,Masmoudi, Afif Korean Mathematical Society 2018 대한수학회보 Vol.55 No.5
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.