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。
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.
出处
《太原理工大学学报》
CAS
2002年第3期282-284,304,共4页
Journal of Taiyuan University of Technology
基金
山西省回国留学人员基金资助项目
关键词
积分表示
随机环境分枝过程
分式线性概率母函数
灭绝概率
BPRE(branching process in random environment)
functional linear probability generating function
extinction probability
