Time reversal and age distributions, I. Discrete-time Markov chains-Reference-Cited by-同舟云学术

Time reversal and age distributions, I. Discrete-time Markov chains

Published:1980-03 Issue:1 Volume:17 Page:33-46
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Tavaré S.

Abstract

The connection between the age distribution of a discrete-time Markov chain and a certain time-reversed Markov chain is exhibited. A method for finding properties of age distributions follows simply from this approach. The results, which have application in several areas in applied probability, are illustrated by examples from population genetics.

Publisher

Cambridge University Press (CUP)

Subject

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

Reference23 articles.

1. On the past history of an allele now known to have frequency p

2. Diffusion processes in one dimension

3. The diffusion equation and a pseudo-distribution in genetics;Ewens;J. R. Statist. Soc.,1963

4. On Quasi-Stationary distributions in absorbing discrete-time finite Markov chains

5. On the age distribution of a Markov chain

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