Notes on large deviations for branching processes indexed by a Poisson process

被引：0
|
作者：
Gao, Zhenlong [1 ]
机构：
[1] Qufu Normal Univ, Sch Stat, Qufu 273165, Shandong, Peoples R China
来源：
LITHUANIAN MATHEMATICAL JOURNAL | 2020年 / 60卷 / 01期
基金：
中国国家自然科学基金;
关键词：
branching process; Poisson process; large deviations; MODERATE DEVIATIONS; RATES;
D O I：
10.1007/s10986-020-09470-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Consider a continuous-time process {ZN(t)}, where {Z(n)} is a Galton-Watson process with offspring mean m, and {N-t} is a Poisson process independent of {Z(n)}. It turns out that R-t := ZN(t)+1/ZN(t) is an estimator of m. We deal with large deviation rates for the convergence of R-t to m for the supercritical and critical cases.
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页码：25 / 28
页数：4
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