On large deviations for combinatorial sums

被引：4

作者：

Frolov, Andrei N. ^{[1
]}

机构：

[1] St Petersburg State Univ, Dept Math & Mech, St Petersburg, Russia

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2022年 / 217卷

关键词：

Combinatorial central limit theorem; Combinatorial sum; Large deviations; REMAINDER; BOUNDS;

D O I：

10.1016/j.jspi.2021.07.002

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：

We investigate an asymptotic behaviour of probabilities of large deviations for normalized combinatorial sums. We find a zone in which these probabilities are equivalent to the tail of the standard normal law. Our conditions are similar to the classical Bernstein conditions. The range of the zone of the normal convergence can be of a power order. (C) 2021 Elsevier B.V. All rights reserved.

引用

页码：24 / 32

页数：9

共 18 条

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