Some estimates of the rate of convergence for birth and death processes-Reference-Cited by-同舟云学术

Some estimates of the rate of convergence for birth and death processes

Published:1991-06 Issue:02 Volume:28 Page:268-277
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:J. Appl. Probab.

Author:

Zeifman A. I.

Abstract

The ergodic properties of birth and death processes are studied. We obtain some explicit estimates for the rate of convergence by the methods of theory of differential equations.

Publisher

Cambridge University Press (CUP)

Subject

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

Reference11 articles.

1. Representations and bounds for zeros of orthogonal polynomials and eigenvalues of sign-symmetric tri-diagonal matrices

2. Conditions for exponential ergodicity and bounds for the decay parameter of a birth-death process

3. The transient state probabilities for a queueing model where potential customers are discouraged by queue length

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