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Stochastic Analysis and Applications Volume 19, 2001 - Issue 6
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Original Articles

On the limit behavior of a supercritical bisexual Galton–Watson branching process with immigration of mating units

M. González Department of Mathematics, Faculty of Sciences, University of Extremadura, Badajoz, 06071, Spain
,
M. Molina Department of Mathematics, Faculty of Sciences, University of Extremadura, Badajoz, 06071, Spain
&
M. Mota Department of Mathematics, Faculty of Sciences, University of Extremadura, Badajoz, 06071, Spain
Pages 933-943 | Published online: 15 Feb 2007
 
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Abstract

In this paper a bisexual Galton–Watson branching process allowing the immigration of mating units is introduced and its limit behaviour is investigated. For the supercritical case, i.e., asymptotic growth rate greater than one, necessary and sufficient conditions for the almost sure and L 1 convergence of the suitably normed underlying sequences are given.

*Research supported by the Consejerı´a de Educación y Juventud de la Junta de Extremadura and the Fondo Social Europeo, grant IPR98A023.

Acknowledgments

Notes

*Research supported by the Consejerı´a de Educación y Juventud de la Junta de Extremadura and the Fondo Social Europeo, grant IPR98A023.

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