\(q\)-discrete distributions based on \(q\)-Meixner and \(q\)-Charlier orthogonal polynomials-asymptotic behaviour
DOI10.1016/J.JSPI.2010.01.024zbMath1190.62019OpenAlexW1995149413MaRDI QIDQ972834
Malvina G. Vamvakari, Andreas George Kyriakoussis
Publication date: 21 May 2010
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jspi.2010.01.024
steady-state distributions\(q\)-Meixner and \(q\)-Charlier orthogonal polynomials\(q\)-negative binomial and Heine distributionsbirth-abort-death modelsStieltjes-Wigert distributionStieltjes-Wigert orthogonal polynomials
Asymptotic distribution theory in statistics (62E20) Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Applications of hypergeometric functions (33C90) Markov processes (60J99)
Related Items (2)
Cites Work
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- On a \(q\)-steady state Markov chain model based on transformed dual \(q\)-Krawtchouk orthogonal polynomials and its limiting behaviour
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- The q-deformed binomial distribution and its asymptotic behaviour
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