The limit theorems on extreme order statistics and partial sums of i.i.d. random variables

IF 1 4区 数学 Q1 MATHEMATICS
Gaoyu Li, Chengxiu Ling, Zhongquan Tan
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引用次数: 0

Abstract

This article proves several weak limit theorems for the joint version of extreme order statistics and partial sums of independently and identically distributed random variables. The results are also extended to almost sure limit version.
极序统计和 i.i.d. 随机变量部分和的极限定理
本文证明了极序统计与独立且同分布随机变量部分和的联合版本的几个弱极限定理。这些结果还扩展到几乎确定的极限版本。
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来源期刊
Open Mathematics
Open Mathematics MATHEMATICS-
CiteScore
2.40
自引率
5.90%
发文量
67
审稿时长
16 weeks
期刊介绍: Open Mathematics - formerly Central European Journal of Mathematics Open Mathematics is a fully peer-reviewed, open access, electronic journal that publishes significant, original and relevant works in all areas of mathematics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Open Mathematics is listed in Thomson Reuters - Current Contents/Physical, Chemical and Earth Sciences. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind. Aims and Scope The journal aims at presenting high-impact and relevant research on topics across the full span of mathematics. Coverage includes:
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