Central limit theorems for a class of irreducible multicolor urn models

DOI10.1007/s12044-007-0043-8zbMath1136.60013arXivmath/0507084OpenAlexW2059942786MaRDI QIDQ2468406

Amites Dasgupta, Gopal Krishna Basak

Publication date: 22 January 2008

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507084

zbMATH Keywords

Markov chaincentral limit theoremmartingaleurn model

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (2)

Azuma-Hoeffding bounds for a class of urn models ⋮ Weak convergence of dynamical systems in two timescales

Cites Work

• Martingale functional central limit theorems for a generalized Pólya urn
• Central limit theorems for urn models
• Weak convergence of recursions
• Asymptotic theorems for urn models with nonhomogeneous generating matrices
• Functional limit theorems for multitype branching processes and generalized Pólya urns.
• Strong convergence of proportions in a multicolor Pólya urn
• Bernard Friedman's Urn
• Limit theorems for multitype continuous time Markov branching processes
• Limit theorems for multitype continuous time Markov branching processes
• Embedding of Urn Schemes into Continuous Time Markov Branching Processes and Related Limit Theorems

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