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Note on Zeifman's bounds on the rate of convergence for birth-death processes

Part of: Markov processes Chemistry

Published online by Cambridge University Press:  14 July 2016

A. Yu. Mitrophanov
A. Yu. Mitrophanov*
Affiliation:
Saratov State University
*
∗ Postal address: Faculty of Computer Science and Information Technology, Saratov State University, 83 Astrakhanskaya str., Saratov 410012, Russia. Email address: mitrophanovay@info.sgu.ru
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Abstract

It is shown that the method of deriving bounds on the rate of convergence for birth–death processes developed by Zeifman can be effectively applied to stochastic models of chemical reactions.

Keywords

Birth–death processrate of convergencestochastic modelchemical kinetics

MSC classification

Primary: 60J85: Applications of branching processes
Secondary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.) 60J27: Continuous-time Markov processes on discrete state spaces 60J35: Transition functions, generators and resolvents 92E20: Classical flows, reactions, etc.

Information

Type
Short Communications
Information
Journal of Applied Probability , Volume 41 , Issue 2 , June 2004 , pp. 593 - 596
Copyright
Copyright © Applied Probability Trust 2004 

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References

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