On Terminating and Non-Terminating q-Gauss Hypergeometric Series Distributions and the Associated q-Orthogonal Polynomials

• Autorzy: Kyriakoussis A. , Vamvakari M.
• Języki publikacji: EN

Abstrakty

EN

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 fromMarkov 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.

Słowa kluczowe

EN

q-Gauss hypergeometric series distributions; q-factorial moments; q-Hahn and big q-Jacobi orthogonal polynomials; birth-abort-death processes; q-hypergeometric distribution; inverse q-hypergeometric distribution; negative and inverse negative q-hypergeometric distributions; q-Hahn and big q-Jacobi processes

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2012
• Tom: Vol. 117, nr 1-4
• Strony: 229--248
• Opis fizyczny: Bibliogr. 21 poz., tab.

Twórcy

autor

Kyriakoussis A.

autor

Vamvakari M.

• Department Informatics and Telematics, Harokopion University, El. Venizelou 70, Athens Greece,

Bibliografia

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