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| 独立同分布随机环境中两性Galton-Watson分支过程灭绝概率的渐近行为 | |
| 引用本文： | 赵丽华,雷思林,卢准炜,刘桂芬.独立同分布随机环境中两性Galton-Watson分支过程灭绝概率的渐近行为[J].应用概率统计,2011,27(3). |
| 作者姓名： | 赵丽华 雷思林 卢准炜 刘桂芬 |
| 作者单位： | 1. 山西医科大学公共卫生学院,太原,030001;太原理工大学数学系,太原,030024 2. 太原理工大学数学系,太原,030024 3. 山西医科大学公共卫生学院,太原,030001 |
| 基金项目： | supported by the Natural Science Foundation of Shanxi (2009011005-2); the Youth Foundation of Taiyuan University of Technology (900103-03020716) |
| 摘 要： | 本文研究了独立同分布随机环境中的两性Galton-Watson分支过程,在上临界情形下,当k充分大时,qk≤ck<'-α>. |
| 关 键 词： | 随机环境中两性Galton-Watson分支过程 灭绝概率 |
The Asymptotic Behaviour of the Extinction Probabibity in Bisexual Galton-Watson Branching Processes with Independent and Identically Distributed Random Environments |
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| ZHAO LIHUA,LEI ENLIN,LU ZHUNWEI,LIU GUIFEN.The Asymptotic Behaviour of the Extinction Probabibity in Bisexual Galton-Watson Branching Processes with Independent and Identically Distributed Random Environments[J].Chinese Journal of Applied Probability and Statisties,2011,27(3). | |
| Authors: | ZHAO LIHUA LEI ENLIN LU ZHUNWEI LIU GUIFEN |
| Affiliation: | Zhao Lihua1,2 Lei Enlin2 Lu Zhunwei2 Liu Guifen1(1School of Public Health,Shanxi Medical University,Taiyuan,030001)(2Department of Mathematics,Taiyuan University of Technology,030024) |
| Abstract: | In bisexual Galton-Watson branching process with independent and identically distributed random environments, it is shown that under certain conditions there exists 0 < α < +∞ and 0 < c < +∞ such that the extinction probability starting with k individuals is bounded above by ck<'-α> for sufficiently large k. |
| Keywords: | Bisexual Galton-Watson branching process in random environments extinction probability |
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