Limit behaviour for a supercritical bisexual Galton-Watson branching process with population-size-dependent mating

被引：10

作者：

Molina, M ^{[1
]}

Mota, M ^{[1
]}

Ramos, A ^{[1
]}

机构：

[1] Univ Extremadura, Dept Math, E-06071 Badajoz, Spain

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2004年 / 112卷 / 02期

关键词：

bisexual Galton-Watson branching process; population-size-dependent Galton-Watson process; martingales; almost sure convergence; L-1-convergence;

D O I：

10.1016/j.spa.2004.02.003

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

A supercritical bisexual Galton-Watson branching process with population-size-dependent mating is considered and some necessary and sufficient conditions for the almost sure and L-1-convergence of the suitably normalized process are given. Similar results for the underlying sequences of females and males are provided. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：309 / 317

页数：9

共 13 条

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