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

Published online by Cambridge University Press:  14 July 2016

A. I. Zeifman
A. I. Zeifman*
Affiliation:
Vologda State Pedagogical Institute
*
*Postal address: Vologda State Pedagogical Institute, Vologda, S. Orlova, 6, 160600, USSR.
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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.

Keywords

EXPONENTIAL ERGODICITYLINEAR DIFFERENTIAL EQUATIONS
Type
Research Papers
Information
Journal of Applied Probability , Volume 28 , Issue 2 , June 1991 , pp. 268 - 277
Copyright
Copyright © Applied Probability Trust 1991 

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