On generalized Pólya urn models

DOI10.1016/S0167-7152(00)00045-6zbMath0965.60027OpenAlexW1964588325MaRDI QIDQ1579854

Philippe Robert, Samuel Kotz, Hosam M. Mahmoud

Publication date: 2 August 2001

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(00)00045-6

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Combinatorial probability (60C05)

Related Items (15)

Limit Theorems for Random Triangular URN Schemes ⋮ Large deviations for generalized Polya urns with arbitrary urn function ⋮ Limit theorems for triangular urn schemes ⋮ Understanding frequency distributions of path-dependent processes with non-multinomial maximum entropy approaches ⋮ Asymptotic Results for a Generalized Pólya Urn with “Multi-Updating” and Applications to Clinical Trials ⋮ First-passage properties of the Pólya urn process ⋮ Random sprouts as internet models, and Pólya processes ⋮ A generalized preferential attachment model for business firms growth rates. II. Mathematical treatment. ⋮ Analytic urns ⋮ Exact and limiting distributions in diagonal Pólya processes ⋮ Urn models and differential algebraic equations ⋮ Alfred Rosenblatt (1880–1947). Polish–Peruvian mathematician ⋮ DRAWING MULTISETS OF BALLS FROM TENABLE BALANCED LINEAR URNS ⋮ Functional limit theorems for multitype branching processes and generalized Pólya urns. ⋮ A generalized Pólya urn model and related multivariate distributions

Cites Work

• Martingale functional central limit theorems for a generalized Pólya urn
• Nonconvergence to unstable points in urn models and stochastic approximations
• A martingale approach to strong convergence in a generalized Pólya- Eggenberger urn model
• Central limit theorems for urn models
• Functionals of critical multitype branching processes
• Asymptotic Normality in the Generalized Polya–Eggenberger Urn Model, with an Application to Computer Data Structures
• Bernard Friedman's Urn
• Embedding of Urn Schemes into Continuous Time Markov Branching Processes and Related Limit Theorems
• A simple urn model
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