数学物理学报(英文版)

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

马世霞; 邢永胜   

  1. 南开大学数学学院, 天津 300071
  • 收稿日期:2004-01-17 修回日期:2004-11-13 出版日期:2006-10-20 发布日期:2006-10-20
  • 通讯作者: 马世霞

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

Ma Shixia; Xing Yongsheng   

  1. School of Mathematical Sciences, Nankai University, Tianjin 300071, China
  • Received:2004-01-17 Revised:2004-11-13 Online:2006-10-20 Published:2006-10-20
  • Contact: Ma Shixia

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

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.

Key words: Bisexual Galton-Watson branching processes, immigration, almost sure convergence, L1-convergence

中图分类号: 

  • 60J80