Limit behavior of the \(q\)-Pólya urn

DOI10.1007/s11139-021-00542-4OpenAlexW4210515617MaRDI QIDQ2111883

Dimitris Cheliotis, Dimitra Kouloumpou

Publication date: 17 January 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-021-00542-4

zbMATH Keywords

functional limit theorems\(q\)-calculusPólya urn\(q\)-Pólya urn

Mathematics Subject Classification ID

Special processes (60K99) Combinatorial probability (60C05) Functional limit theorems; invariance principles (60F17)

Cites Work

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• A \(q\)-Pólya urn model and the \(q\)-Pólya and inverse \(q\)-Pólya distributions
• Martingale functional central limit theorems for a generalized Pólya urn
• Gaussian approximation theorems for urn models and their applications
• Functional limit theorems for the Pólya urn
• Functional limit theorems for multitype branching processes and generalized Pólya urns.
• Discrete q-Distributions
• Polya Urn Models
• Asymptotic Normality in the Generalized Polya–Eggenberger Urn Model, with an Application to Computer Data Structures
• On central limit and iterated logarithm supplements to the martingale convergence theorem
• q-Probability: I. Basic Discrete Distributions
• Stochastic Calculus
• Gaussian process approximations for multicolor Pólya urn models
• Multivariate q-Pólya and inverse q-Pólya distributions
• Quantum calculus

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