Central limit theorem for the size of the range of a renewal process
type: Item
instance of: scholarly article
title: Central limit theorem for the size of the range of a renewal process
zbMATH Open document ID: 1069.60024
author: Robin Pemantle
author: Paweł Hitczenko
published in: Statistics \& Probability Letters
publication date: 2005-06-01T00:00:00Z
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60K05
zbMATH DE Number: 2173492
zbMATH Keywords: Iterated function
zbMATH Keywords: Random function
zbMATH Keywords: Markov chain
zbMATH Keywords: Coupling
MaRDI profile type: Publication
full work available at URL: j.spl.2004.12.011
OpenAlex ID: W2026486200
cites work: Applied Probability and Queues
cites work: Q4836494
cites work: The latent roots of certain Markov chains arising in genetics: A new approach, I. Haploid models
cites work: Compositions of random functions on a finite set
cites work: Weak convergence to a Markov chain with an entrance boundary: Ancestral processes in population genetics
cites work: Mathematical population genetics. I: Theoretical introduction.
cites work: Q3908818
cites work: Q3958314
cites work: Total variation distances and rates of convergence for ancestral coalescent processes in exchangeable population models
cites work: The time back to the most recent common ancestor in exchangeable population models
cites work: Exact sampling with coupled Markov chains and applications to statistical mechanics
cites work: Line-of-descent and genealogical processes, and their applications in population genetics models
cites work: On the number of segregating sites in genetical models without recombination
DOI: 10.1016/J.SPL.2004.12.011
Recommended article: A central limit theorem by remainder term for renewal processes
Recommended article: Central limit theorem for zero-range processes
Recommended article: The central limit theorem for stochastic processes
Recommended article: A Central Limit Theorem for Cumulative Processes
Recommended article: Limit Theorems for Generalized Renewal Processes
Recommended article: Central limit theorem for finitely-dependent random variables
Recommended article: Q3357971
description: scientific article; zbMATH DE number 2173492