一类两环境状态S-W BPRE灭绝概率的精确等价函数

卢准炜; 白永强

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一类两环境状态S-W BPRE灭绝概率的精确等价函数

更新时间：2026-09-14

- 一类两环境状态S-W BPRE灭绝概率的精确等价函数
- 一类两环境状态S-W BPRE灭绝概率的精确等价函数
- Issue 5, (2001)
- 作者机构：
  
  1. ,山西,太原,030051
  2. 太原理工大学数学系
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2001
- 稿件说明：
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卢准炜, 白永强. 一类两环境状态S-W BPRE灭绝概率的精确等价函数[J]. 2001, (5).
DOI：

卢准炜, 白永强. 一类两环境状态S-W BPRE灭绝概率的精确等价函数[J]. 2001, (5). DOI：

摘要

目的　探讨具有分式线性概率母函数两环境状态 Smith-Wilkinson BPRE灭绝概率的渐近估计 .方法　利用分式线性概率母函数的特性

通过对偶过程的函数变换

并借助了特征函数、积分技巧以及极限和概率的方法 .结果　求得了灭绝概率 qk的精确等价函数 .结论　特殊情况下

灭绝概率 qk的等价函数可由关于 k的不含未知参数的初等函数精确表示出来

Abstract

Aim\ To study the asympototic estimation for extinction probability in two environment states Smith Wilkinson BPRE with fractional linear probability generating function. Methods\ By means of the characteristics of fractional linear probability generating function

through the function transformation for dual process

the method of characteristic function

the skill of integration and the methods of limitation and probability are used. Results\ The exact equivalent function of extinction probability in some two environment states Smith Wilkinson BPRE with fractional linear probablity generating function is obtained. Conclusion\ In some particular case

the equivalent function of \%q\-k\%

the extinction probability

can be exactly expressed by an elementary function about \%k\% without any unknown parameter.

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