A \(q\)-Pólya urn model and the \(q\)-Pólya and inverse \(q\)-Pólya distributions

DOI10.1016/j.jspi.2011.07.015zbMath1232.60009OpenAlexW1998847637MaRDI QIDQ643403

Charalambos A. Charalambides

Publication date: 28 October 2011

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.2011.07.015

zbMATH Keywords

\(q\)-binomial distribution\(q\)-hypergeometric distributionabsorption distributioninverse \(q\)-hypergeometric distributioninverse absorption distributionnegative \(q\)-binomial distributionnegative \(q\)-hypergeometric distribution

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Combinatorial probability (60C05)

Related Items (5)

On multivariate discrete q-Distributions-A multivariate q-Cauchy’s formula ⋮ Multivariate q-Pólya and inverse q-Pólya distributions ⋮ \( \mathcal{R}(p,q)\)-multivariate discrete probability distributions ⋮ Curiosities regarding waiting times in P\'{o}lya's urn model ⋮ Limit behavior of the \(q\)-Pólya urn

Cites Work

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• Discrete \(q\)-distributions on Bernoulli trials with a geometrically varying success probability
• The q-Stirling numbers of first and second kinds
• Steady-state Markov chain models for certain \(q\)-confluent hypergeometric distributions
• \(q\)-Bernoulli numbers and polynomials
• The absorption distribution and the_q-binomial theorem
• Absorption sampling and the absorption distribution
• q-Probability: I. Basic Discrete Distributions

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