Large deviation estimates for branching random walks*

被引：10

作者：

Buraczewski, Dariusz ^{[1
]}

Maslanka, Mariusz ^{[1
]}

机构：

[1] Uniwersytet Wroclawski, Inst Matematy, Pl Grunwaldzki 2-4, PL-50384 Wroclaw, Poland

来源：

ESAIM-PROBABILITY AND STATISTICS | 2019年 / 23卷

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

页码：823 / 840

页数：18

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