DIFFUSION APPROXIMATION FOR AN AGE-STRUCTURED POPULATION

被引：3
|
作者：
Bose, A. [1 ]
Kaj, I.
机构：
[1] Carleton Univ, Dept Math & Stat, Ottawa, ON K1S 5B6, Canada
来源：
ANNALS OF APPLIED PROBABILITY | 1995年 / 5卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Measure-valued processes; age distribution; diffusion limit;
D O I：
10.1214/aoap/1177004833
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：
We prove a diffusion limit theorem in the sense of weak convergence of measure-valued processes for a population age model first studied by Kendall. We show that in the diffusion limit scaling, the population structured in age groups behaves in the same way as the total population size, but with an exponential weight. A particular feature of the limiting process is that in general it is discontinuous at time zero.
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页码：140 / 157
页数：18
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