Large deviation estimates for branching random walks*

被引:9
|
作者
Buraczewski, Dariusz [1 ]
Maslanka, Mariusz [1 ]
机构
[1] Uniwersytet Wroclawski, Inst Matematy, Pl Grunwaldzki 2-4, PL-50384 Wroclaw, Poland
关键词
Branching random walk; random walk; large deviations; first passage time; TIMES; PROBABILITIES; CONVERGENCE;
D O I
10.1051/ps/2019006
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
For the branching random walk drifting to -infinity we study large deviations-type estimates for the first passage time. We prove the corresponding law of large numbers and the central limit theorem.
引用
收藏
页码:823 / 840
页数:18
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