Asymptotic laws of summands I: square integrable independent random variables

Aladji Babacar Niang, G. Lo, Moumouni Diallo
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引用次数: 2

Abstract

This paper is part of series on self-contained papers in which a large part, if not the full extent, of the asymptotic limit theory of summands of independent random variables is exposed. Each paper of the series may be taken as review exposition but specially as a complete exposition expect a few exterior resources. For graduate students and for researchers (beginners or advanced), any paper of the series should be considered as a basis for constructing new results. The contents are taken from advanced books but the organization and the proofs use more recent tools, are given in more details and do not systematically follow previous one. Sometimes, theorems are completed and innovated
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求和的渐近律I:平方可积独立随机变量
本文是独立随机变量和的渐近极限理论的大部分(如果不是全部的话)的自包含论文系列的一部分。本系列的每篇论文都可以作为综述性论述,但除了一些外部资源外,还可以作为完整的论述。对于研究生和研究人员(初学者或高级),该系列的任何论文都应被视为构建新结果的基础。内容取自高级书籍,但组织和证明使用较新的工具,给出了更多的细节,并没有系统地遵循以前的一个。有时,定理是完善和创新的
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