On strict monotonicity of the speed for excited random walks in one dimension

被引：6
|
作者：
Holmes, Mark [1 ]
机构：
[1] Univ Auckland, Auckland 1, New Zealand
来源：
ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2015年 / 20卷
关键词：
Excited random walk; monotonicity; coupling; arrow systems; regeneration;
D O I：
10.1214/ECP.v20-4212
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 give a "direct" coupling proof of strict monotonicity of the speed for 1-dimensional multi-excited random walks with positive speed. This reproves (and extends) a recent result of Peterson without using branching processes.
引用
收藏
页码：1 / 7
页数：7
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