\(q\)-distributions and Markov processes

DOI10.1016/0012-365X(95)00358-4zbMath0884.60065OpenAlexW2040316337MaRDI QIDQ1363655

Davide Crippa, Klaus Simon

Publication date: 1 April 1998

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(95)00358-4

zbMATH Keywords

Markov process\(q\)-distributions\(q\)-Stirling numbers\(q\)-hypergeometrical series

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Combinatorial probability (60C05) Distribution theory (60E99)

Related Items (7)

Non-central generalized \(q\)-factorial coefficients and \(q\)-Stirling numbers ⋮ A differential equation for a class of discrete lifetime distributions with an application in reliability ⋮ Generalized approximate counting revisited ⋮ Discrete \(q\)-distributions on Bernoulli trials with a geometrically varying success probability ⋮ A probabilistic interpretation of the Gaussian binomial coefficients ⋮ Moments of a class of discrete \(q\)-distributions ⋮ Geometric juggling with \(q\)-analogues

Cites Work

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• The average performance of the greedy matching algorithm
• The birth and death processes as diffusion processes
• Approximate counting: a detailed analysis
• An improved algorithm for transitive closure on acyclic digraphs
• The q-Stirling numbers of first and second kinds
• q-Series Arising From The Study of Random Graphs
• Counting large numbers of events in small registers
• Markov Processes Involving q-Stirling Numbers

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