Nonexponential asymptotics for the solutions of renewal equations, with applications

被引：61
|
作者：
Yin, Chuancun [1 ]
Zhao, Junsheng [1 ]
机构：
[1] Qufu Normal Univ, Dept Math, Shandong 273165, Peoples R China
来源：
JOURNAL OF APPLIED PROBABILITY | 2006年 / 43卷 / 03期
关键词：
asymptotics; defective renewal equation; deterministic population model; compound geometric distribution; heavy-tailed distribution; perpetual put option; renewal function;
D O I：
10.1239/jap/1158784948
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Nonexponential asymptotics for solutions of two specific defective renewal equations are obtained. These include the special cases of asymptotics for a compound geometric distribution and the convolution of a compound geometric distribution with a distribution function. As applications of these results, we study the asymptotic behavior of the demographic birth rate of females, the perpetual put option in mathematics of finance, and the renewal function for terminating renewal processes.
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页码：815 / 824
页数：10
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