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THE ASYMPTOTIC PROPERTIES OF SUPERCRITICAL BISEXUAL GALTON-WATSON BRANCHING PROCESSES WITH IMMIGRATION OF MATING UNITS
作者姓名:马世霞  邢永胜
作者单位:School of Mathematical Sciences Nankai University Tianjin 300071,China,School of Mathematical Sciences Nankai University,Tianjin 300071,China
摘    要: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.

关 键 词:两性Galton-Watson分歧进程  迁入  L^1收敛  超临界
收稿时间:2004-01-17
修稿时间:2004-11-13

THE ASYMPTOTIC PROPERTIES OF SUPERCRITICAL BISEXUAL GALTON-WATSON BRANCHING PROCESSES WITH IMMIGRATION OF MATING UNITS
Shixia Ma,Yongsheng Xing.THE ASYMPTOTIC PROPERTIES OF SUPERCRITICAL BISEXUAL GALTON-WATSON BRANCHING PROCESSES WITH IMMIGRATION OF MATING UNITS[J].Acta Mathematica Scientia,2006,26(4):603-609.
Authors:Shixia Ma  Yongsheng Xing
Institution:

aSchool of Mathematical Sciences, Nankai University, Tianjin 300071, China

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.
Keywords:Bisexual Galton-Watson branching processes  immigration  almost sure convergence  L1-convergence
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