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A note on coupling of birth and death processes

Published online by Cambridge University Press:  14 July 2016

Torgny Lindvall
Torgny Lindvall*
Affiliation:
University of Göteborg
*
∗ Postal address: Department of Mathematics, Chalmers University of Technology and University of Göteborg, Fack, S–402 20 Göteborg, Sweden.
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Abstract

The purpose of this note is to show how well the coupling device is fitted for use in the study of birth and death process asymptotics: known achievements get new proofs, and new results on rate of ‘forgetfulness of initial state' and stochastic domination are established.

Keywords

COUPLINGSBIRTH AND DEATH PROCESSESRATE RESULTSSTOCHASTIC DOMINATION
Type
Research Papers
Information
Journal of Applied Probability , Volume 16 , Issue 3 , September 1979 , pp. 505 - 512
Copyright
Copyright © Applied Probability Trust 1979 

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References

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