Articles

THE ASYMPTOTIC PROPERTIES OF SUPERCRITICAL BISEXUAL GALTON-WATSON BRANCHING PROCESSES WITH IMMIGRATION OF MATING UNITS

  • Ma Shixia ,
  • Xing Yongsheng
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  • School of Mathematical Sciences, Nankai University, Tianjin 300071, China

Received date: 2004-01-17

  Revised date: 2004-11-13

  Online published: 2006-10-20

Abstract

In this article the supercritical bisexual Galton--Watson branching processes with the immigration of mating units is considered. A necessary condition for the almost sure convergence, and a sufficient condition for the L1 convergence are given for the process with the suitably normed condition.

Cite this article

Ma Shixia , Xing Yongsheng . THE ASYMPTOTIC PROPERTIES OF SUPERCRITICAL BISEXUAL GALTON-WATSON BRANCHING PROCESSES WITH IMMIGRATION OF MATING UNITS[J]. Acta mathematica scientia, Series B, 2006 , 26(4) : 603 -609 . DOI: 10.1016/S0252-9602(06)60086-6

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