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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.
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참고문헌 (24)
참고문헌 신청
W. H. Abdi / 1960 / On q-Laplace transforms / Proc. Nat. Acad. Sci. India Sect. A 29:389~408
W. H. Abdi / 1962 / On certain q-difference equations and q-Laplace transform / Proc. Nat. Inst. Sci. India Part A 28:1~15
W. H. Abdi / 1962 / Application of q-Laplace transform to the solution of certain q-integral equations / Rend. Circ. Mat. Palermo (2) 11:245~257
W. H. Abdi / 1964 / Certain inversion and representation formulae for q-Laplace transforms / Math. Z. 83:238~249
A. N. Ahmed / 1991 / Characterization of beta, binomial, and Poisson distributions / IEEE Transactions on Reliability 40(3):290~295
W. H. Abdi / 1962 / On certain q-difference equations and q-Laplace transform / Proc. Nat. Inst. Sci. India Part A 28:1~15
W. H. Abdi / 1962 / Application of q-Laplace transform to the solution of certain q-integral equations / Rend. Circ. Mat. Palermo (2) 11:245~257
W. H. Abdi / 1964 / Certain inversion and representation formulae for q-Laplace transforms / Math. Z. 83:238~249
A. N. Ahmed / 1991 / Characterization of beta, binomial, and Poisson distributions / IEEE Transactions on Reliability 40(3):290~295
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