A remark on the uniqueness of weighted Markov branching processes
Anyue Chen, Phil Pollett, Junping Li, and Hanjun Zhang
Source: J. Appl. Probab.
Volume 44, Number 1
(2007), 279-283.
Abstract
We present an elegant uniqueness criterion for the weighted Markov
branching process in the potentially explosive case.
Primary Subjects: 60J27
Secondary Subjects: 60J80
Keywords: Markov branching process; regularity; uniqueness
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jap/1175267178
Digital Object Identifier: doi:10.1239/jap/1175267178
Mathematical Reviews number (MathSciNet):
MR2313002
Zentralblatt MATH identifier:
1154.60067
References
Anderson, W. J. (1991). Continuous-Time Markov Chains: An Applications-Oriented Approach. Springer, New York.
Asmussen, S. and Hering, H. (1983). Branching Processes. Birkhäuser, Boston, MA.
Mathematical Reviews (MathSciNet):
MR701538
Athreya, K. B. and Jagers, P. (1997). Classical and Modern Branching Processes. Springer, Berlin.
Athreya, K. B. and Ney, P. E. (1972). Branching Processes. Springer, Berlin.
Mathematical Reviews (MathSciNet):
MR373040
Chen, A., Pollett, P., Zhang, H. and Cairns, B. (2005). Uniqueness criteria for continuous-time Markov chains with general transition structure. Adv. Appl. Prob. 37, 1056--1074.
Chen, A. Y. (2002a). Ergodicity and stability of generalized Markov branching processes with resurrection. J. Appl. Prob. 39, 786--803.
Chen, A. Y. (2002b). Uniqueness and extinction properties of generalized Markov branching processes. J. Math. Anal. Appl. 274, 482--494.
Chen, M. F. (1992). From Markov Chains to Non-Equilibrium Particle Systems. World Scientific, Singapore.
Chen, R. R. (1997). An extended class of time-continuous branching processes. J. Appl. Prob. 34, 14--23.
Harris, T. H. (1963). The Theory of Branching Processes. Springer, Berlin.
Mathematical Reviews (MathSciNet):
MR163361
Yang, X. Q. (1990). The Construction Theory of Denumerable Markov Processes. John Wiley, Chichester.