CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST 2007, 23(4) 352-360 DOI:      ISSN: 1001-4268 CN: 31-1256

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Keywords
Bisexual Galton-Watson branching processes
population-size-dependent branching processes
almost sure convergence.
Authors
MA Shixia
WANG Yongjing
PubMed
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On the Limit Behaviour of the Population-Size-Dependent Bisexual Branching Processes

MA Shixia�� WANG Yongjing

Department of Applied Mathematics, Hebei University of Technology, Department of Applied Mathematics, Hebei University of Technology

Abstract��

In this paper, a bisexual Galton-Watson branching process with the law of offspring distribution dependent on the population size is investigated. Under a suitable assumption on the offspring distribution, for the supercritical case, the limit behaviours on almost sure convergence of the process are established.

Keywords�� Bisexual Galton-Watson branching processes   population-size-dependent branching processes   almost sure convergence.  
Received 1900-01-01 Revised 1900-01-01 Online:  
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Corresponding Authors: Ma Shixia
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