Family trees of continuous-time birth-and-death processes

被引：5

作者：

Müller, J

Möhle, M

机构：

[1] Tech Univ Munich, Inst Math, D-85748 Garching, Germany

[2] Univ Tubingen, Inst Math, D-72076 Tubingen, Germany

来源：

JOURNAL OF APPLIED PROBABILITY | 2003年 / 40卷 / 04期

关键词：

birth-and-death process; stochastic graph; family tree;

D O I：

10.1239/jap/1067436095

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 consider a stochastic graph generated by a continuous-time birth-and-death process with exponentially distributed waiting times. The vertices are the living particles, directed edges go from mothers to daughters. The size and the structure of the connected components are investigated. Furthermore, the number of connected components is determined.

引用

页码：980 / 994

页数：15

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