随机环境两性分枝过程L1-收敛的对数判别准则

数学理论与应用 ›› 2016, Vol. 36 ›› Issue (4): 44-49.

随机环境两性分枝过程L¹-收敛的对数判别准则

周远正¹, 王月娇², 邱玉梅¹

1.长沙理工大学数学与统计学院,长沙,410114; 2.中南大学数学与统计学院,长沙,410083

出版日期:2016-12-30 发布日期:2020-09-25

A Logarithmic Criterion for L¹-convergence of a Bisexual Branching Process in a Random Environment

Zhou Yuanzheng¹, Wang Yuejiao^2, Qiu Yumei¹

1.School of Mathematics and Statistics,Changsha University of Science and Technology,Changsha 410014,China; 2.School of Mathematics and Statistics,Central South University,Changsha 410083,China

Online:2016-12-30 Published:2020-09-25

摘要/Abstract

摘要： 本文讨论随机环境两性分支过程中以条件均值增长率的上界作为规范化因子的L¹-收敛问题,给出了L¹-收敛的对数判别准则的充要条件.

关键词: 随机环境, 两性分枝过程, L1-收敛

Abstract: In this paper,the L¹-convergence of a bisexual branching process in a random environment normalized by the upper bound of the conditional mean growth rate is investigated.A necessary and sufficient condition for theL¹-convergence of the logarithmic criterion is given.

Key words:

Random environment, Bisexual Branching Process, L¹-convergence

周远正, 王月娇, 邱玉梅. 随机环境两性分枝过程L¹-收敛的对数判别准则[J]. 数学理论与应用, 2016, 36(4): 44-49.

Zhou Yuanzheng, Wang Yuejiao, Qiu Yumei . A Logarithmic Criterion for L¹-convergence of a Bisexual Branching Process in a Random Environment[J]. Mathematical Theory and Applications, 2016, 36(4): 44-49.

随机环境两性分枝过程L¹-收敛的对数判别准则

A Logarithmic Criterion for L¹-convergence of a Bisexual Branching Process in a Random Environment

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