Limiting Distributions for a Class Of Diminishing Urn Models

DOI10.1239/AAP/1331216646zbMath1300.60023arXiv1403.2712OpenAlexW2003875009MaRDI QIDQ2879908

Alois Panholzer, Markus Kuba

Publication date: 10 April 2012

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.2712

zbMATH Keywords

Kumaraswamy distributionPólya-Eggenberger urn modelpills problemdiminishing urn

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Combinatorial probability (60C05)

Related Items (1)

On moment sequences and mixed Poisson distributions

Cites Work

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• The simple harmonic urn
• Limit theorems for triangular urn schemes
• Mathematics for the analysis of algorithms.
• Analytic urns
• Solution to the OK Corral model via decoupling of Friedman's urn
• Convergence of Markov processes near saddle fixed points
• Functional limit theorems for multitype branching processes and generalized Pólya urns.
• Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions
• Asymptotic probabilities in a sequential urn scheme related to the matchbox problem
• Martingales in the Ok Corral
• The Ok Corral and the Power of the Law (A Curious Poisson-Kernel Formula for a Parabolic Equation)
• Stochastic aspects of Lanchester's theory of warfare
• The Pills Problem Revisited
• Reinforced random walk

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