COMPLETE CONVERGENCE THEOREM FOR A COMPETITION MODEL

被引：11

作者：

DURRETT, R

MOLLER, AM

机构：

[1] Department of Mathematics, Cornell University, Ithaca, 14853-7901, NY

来源：

PROBABILITY THEORY AND RELATED FIELDS | 1991年 / 88卷 / 01期

关键词：

D O I：

10.1007/BF01193585

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：

In this paper we consider a hierarchical competition model. Durrett and Swindle have given sufficient conditions for the existence of a nontrivial stationary distribution. Here we show that under a slightly stronger condition, the complete convergence theorem holds and hence there is a unique nontrivial stationary distribution.

引用

页码：121 / 136

页数：16

共 10 条

[1]

[Anonymous], 1985, INTERACTING PARTICLE

[2]

BEZUIDENHOUT C, IN PRESS ANN PROBAB

[3] STATISTICAL-MECHANICS OF CRABGRASS [J].