Supercritical age-dependent branching Markov processes and their scaling limits

被引：3

作者：

Athreya, Krishna B. ^{[1
]}

Athreya, Siva R. ^{[2
]}

Iyer, Srikanth K. ^{[3
]}

机构：

[1] Iowa State Univ, Dept Math & Stat, Ames, IA 50011 USA

[2] Indian Stat Inst, Bangalore 560059, Karnataka, India

[3] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India

来源：

BERNOULLI | 2011年 / 17卷 / 01期

关键词：

age-dependent; ancestral times; branching; empirical distribution; supercritical; POPULATIONS;

D O I：

10.3150/10-BEJ264

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：

This paper studies the long-time behavior of the empirical distribution of age and normalized position of an age-dependent supercritical branching Markov process. The motion of each individual during its life is a random function of its age. It is shown that the empirical distribution of the age and the normalized position of all individuals alive at time t converges as t -> infinity to a deterministic product measure.

引用

页码：138 / 154

页数：17

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