A stochastic comparison result for the multitype contact process with unequal death rates

被引：0
|
作者：
Stover, Joseph P. [1 ]
机构：
[1] Gonzaga Univ, Dept Math, 502 E Boone Ave, Spokane, WA 99258 USA
来源：
STATISTICS & PROBABILITY LETTERS | 2020年 / 162卷
关键词：
Stochastic order; Multitype contact process; Interacting particle system; Attractive;
D O I：
10.1016/j.spl.2020.108763
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：
A stochastic comparison result that makes progress towards understanding the classical multitype contact process with unequal death rates is given. It has long been conjectured that the particle type with the largest birth to death rate ratio survives and the other dies out. A point process coupling result of Broman (2007) is used to give a sufficient condition for when the dominant particle type survives. (C) 2020 Elsevier B.V. All rights reserved.
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页数：7
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