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
收藏
页码：297 / 357
页数：61
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