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- W1916623740 abstract "In this paper, we establish the families of terminating and non-terminating q-Gauss hypergeometric series discrete distributions and we associate them with defined classes of generalized q-Hahn and big q-Jacobi orthogonal polynomials, respectively. Also, we give the q-factorial moments and the usual moments for these two families of q-Gauss hypergeometric series distributions. Moreover, we present their probabilistic interpretation as q-steady-state distributions from Markov chains and we designate the generalized q-Hahn processes and generalized big q-Jacobi processes emerged by these q-Markov chains. As special cases the q-hypergeometric, the negative q-hypergeometric distributions and their inverses are presented." @default.
- W1916623740 created "2016-06-24" @default.
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- W1916623740 date "2012-01-01" @default.
- W1916623740 modified "2023-10-01" @default.
- W1916623740 title "On Terminating and Non-Terminating q-Gauss Hypergeometric Series Distributions and the Associated q-Orthogonal Polynomials" @default.
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- W1916623740 doi "https://doi.org/10.3233/fi-2012-698" @default.
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