一类两环境状态S-W BPRE灭绝概率的精确等价函数

About the Exact Equivalent Function of Extinction Probability in Some Two Environment States Smith-Wilkinson BPRE

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

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 qk, the extinction probability, can be exactly expressed by an elementary function about k without any unknown parameter.