Large and moderate deviations for a class of renewal random indexed branching process

被引：8
|
作者：
Gao, Zhenlong [1 ]
Zhang, Yanhua [1 ]
机构：
[1] Qufu Normal Univ, Sch Stat, Qufu 273165, Peoples R China
来源：
STATISTICS & PROBABILITY LETTERS | 2015年 / 103卷
关键词：
Large deviation principle; Moderate deviation principle; Random indexed branching process;
D O I：
10.1016/j.spl.2015.04.002
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：
Let {Z(n), n = 0, 1, 2, ...} be a supercritical branching process, {N-t, t >= 0} be a renewal process independent of {Z(n), n = 0, 1, 2, ...}, then {Z(Nt), t >= 0} is a supercritical renewal random indexed branching process. Assume that {N-t, t >= 0} has a Erlang(2) renewal distribution, we show large and moderate deviation principles for log Z(Nt). (C) 2015 Elsevier B.V. All rights reserved.
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页码：1 / 5
页数：5
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