Asymptotic Expansions for Products of Characteristic Functions Under Moment Assumptions of Non-integer Orders

被引：10

作者：

Bobkov, Sergey G. ^{[1
]}

机构：

[1] Univ Minnesota, Minneapolis, MN 55455 USA

来源：

CONVEXITY AND CONCENTRATION | 2017年 / 161卷

关键词：

LOCAL LIMIT-THEOREMS; NONUNIFORM BOUNDS; INEQUALITIES;

D O I：

10.1007/978-1-4939-7005-6_11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This is mostly a review of results and proofs related to asymptotic expansions for characteristic functions of sums of independent random variables (known also as Edgeworth-type expansions). A number of known results is refined in terms of Lyapunov coefficients of non-integer orders.

引用

页码：297 / 357

页数：61

共 38 条

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