Quasi-stationary distributions of birth-and-death processes-Reference-Cited by-同舟云学术

Quasi-stationary distributions of birth-and-death processes

Published:1978-09 Issue:03 Volume:10 Page:570-586
ISSN:0001-8678
Container-title:Advances in Applied Probability
language:en
Short-container-title:Adv. Appl. Probab.

Author:

Cavender James A.

Abstract

Letqn(t) be the conditioned probability of finding a birth-and-death process in statenat timet,given that absorption into state 0 has not occurred by then. A family {q1(t),q2(t), · · ·} that is constant in time is a quasi-stationary distribution. If any exist, the quasi-stationary distributions comprise a one-parameter family related to quasi-stationary distributions of finite state-space approximations to the process.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference13 articles.

1. On the differential equations for the transition probabilities of Markov processes with enumerably many states

2. On asymptotic behaviour of probabilities in groups of states of homogeneous Markov chain

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