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Theory of Probability and Its Applications
Article . 1985 . Peer-reviewed
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https://dx.doi.org/10.1137/112...
Article
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Narrow Zones of Normal Convergence for Sums of Non-Identically Distributed Random Variables

Narrow zones of normal convergence for sums of non-identically distributed random variables
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1985 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:Theory of Probability & Its Applications, volume 29, pages 570-574 (issn: 0040-585X, eissn: 1095-7219, Copyright policy )
Authors: Slastnikov, A. D.;

doi: 10.1137/1129074

Narrow Zones of Normal Convergence for Sums of Non-Identically Distributed Random Variables

Abstract

For the independent random variables \(X_ 1,X_ 2,...\), \(EX_ i=0\), \(EX^ 2_ i=\sigma^ 2_ i<\infty\) (i\(\geq 1)\), \(F_{k,n}(x)=P(X_{k+1}+...+X_{k+n}

Keywords

zone of normal convergence, Central limit and other weak theorems, necessary and sufficient conditions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
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