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A Remark on the Uniqueness of Weighted Markov Branching Processes

Part of: Markov processes

Published online by Cambridge University Press:  14 July 2016

Anyue Chen ,
Phil Pollett ,
Junping Li  and
Hanjun Zhang
Anyue Chen*
Affiliation:
The University of Hong Kong and The University of Greenwich
Phil Pollett*
Affiliation:
The University of Queensland
Junping Li*
Affiliation:
Central South University, Changsha
Hanjun Zhang*
Affiliation:
The University of Queensland
*
∗ Postal address: Department of Statistics and Actuarial Science, The University of Hong Kong, Pokfulam Road, Hong Kong. Email address: achen@hkucc.hku.hk
∗∗ Postal address: Department of Mathematics, The University of Queensland, Brisbane, QLD 4072, Australia.
∗∗∗∗ Postal address: School of Mathematical Sciences and Computing Technology, Central South University, Changsha, 410075, P. R. China. Email address: jpli@mail.csu.edu.cn
∗∗ Postal address: Department of Mathematics, The University of Queensland, Brisbane, QLD 4072, Australia.
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Abstract

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We present an elegant uniqueness criterion for the weighted Markov branching process in the potentially explosive case.

Keywords

Markov branching processregularityuniqueness

MSC classification

Primary: 60J27: Continuous-time Markov processes on discrete state spaces
Secondary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.)
Type
Research Article
Information
Journal of Applied Probability , Volume 44 , Issue 1 , March 2007 , pp. 279 - 283
Copyright
Copyright © Applied Probability Trust 2007 

References

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