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| 关于S-W BPRE灭绝概率积分表示的构作举例 | |
| 引用本文： | 白永强,卢准炜. 关于S-W BPRE灭绝概率积分表示的构作举例[J]. 太原理工大学学报, 2002, 33(3): 282-284 |
| 作者姓名： | 白永强 卢准炜 |
| 作者单位： | 太原理工大学理学院 |
| 基金项目： | 山西省回国留学人员基金资助项目 |
| 摘 要： | 利用分式线性概率母函数的特性 ,借助对偶过程及其函数变换 ,在作了一些适当的特殊假设的情况下 ,探讨了随机环境分枝过程 BPRE的灭绝概率的具体表示形式 ;并通过两个举例 ,构作了两类独立同分布随机环境分枝过程灭绝概率的积分表示。从而在特殊情况下 ,可通过简单的积分计算求得随机环境分枝过程的灭绝概率。 |
| 关 键 词： | 随机环境分枝过程 分式线性概率母函数 灭绝概率 |
| 文章编号： | 1007-9432(2002)03-0282-03 |
| 修稿时间： | 2001-08-10 |
About the Making Instance for Intergration Expression of Extinction Probabilityin Branching Processes with Independent Identically Distributed Random Environment |
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| Bai Yongqiang,Lu Zhunwei. About the Making Instance for Intergration Expression of Extinction Probabilityin Branching Processes with Independent Identically Distributed Random Environment[J]. Journal of Taiyuan University of Technology, 2002, 33(3): 282-284 | |
| Authors: | Bai Yongqiang Lu Zhunwei |
| Affiliation: | College of Sciences of TUT |
| Abstract: | By means of the characteristics of fractional linear probability generating function, the dual process and the function transformation, with particular assumption, the expression of extinction probability in BPRE was studied . Two integration expressions of extinction probability in identically distributed BPRE were obtained. So in some particular case, the extinction probability in BPRE can be required by easy integration. |
| Keywords: | BPRE(branching process in random environment) functional linear probability generating function extinction probability |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |