A note on coupling of birth and death processes-Reference-Cited by-同舟云学术

A note on coupling of birth and death processes

Published:1979-09 Issue:3 Volume:16 Page:505-512
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Lindvall Torgny

Abstract

The purpose of this note is to show how well the coupling device is fitted for use in the study of birth and death process asymptotics: known achievements get new proofs, and new results on rate of ‘forgetfulness of initial state' and stochastic domination are established.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference10 articles.

1. A Probabilistic Proof of Blackwell's Renewal Theorem

2. Uniform rates of convergence for Markov chain transition probabilities

3. Exposé de la théorie des chaînes simple constantes de Markov a un nombre fini d'états;Doeblin;Rev. Math, de l'Union Interbalkanique,1938

4. A maximal coupling for Markov chains

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