Central limit theorem for the size of the range of a renewal process

DOI10.1016/j.spl.2004.12.011zbMath1069.60024OpenAlexW2026486200MaRDI QIDQ1779682

Robin Pemantle, Pawel Hitczenko

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.spl.2004.12.011

zbMATH Keywords

Markov chainCouplingIterated functionRandom function

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Renewal theory (60K05)

Related Items (1)

Stein's method for the Poisson-Dirichlet distribution and the Ewens sampling formula, with applications to Wright-Fisher models

Cites Work

• Line-of-descent and genealogical processes, and their applications in population genetics models
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• Applied Probability and Queues
• The latent roots of certain Markov chains arising in genetics: A new approach, I. Haploid models
• Exact sampling with coupled Markov chains and applications to statistical mechanics
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