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Teoriya Veroyatnostei i ee Primeneniya, 1962, Volume 7, Issue 2, Pages 121–134 (Mi tvp4708)  
This article is cited in 10 scientific papers (total in 10 papers)

Limit Theorems for Sums of Independent Variables Taking into Account Large Deviations. III

Yu. V. Linnik

Leningrad
Full-text PDF (1117 kB) Citations (10)
Abstract: Conditions are found which are necessary for uniform normal convergence in the zones $[0,n^\alpha\rho(n)],[- n^\alpha\rho(n)]$ for values of $\alpha \in[\frac{1}{6},\frac{1}{2}]$, and sufficientin the zones $[0,{n^\alpha}/{\rho}(n)],[{-n^\alpha}/{\rho}(n),0]$. The method is a combination of H. Cramer’s method and of the arguments of Part I of this paper.
Received: 28.06.1960
English version:
Theory of Probability and its Applications, 1962, Volume 7, Issue 2, Pages 115–129
DOI: https://doi.org/10.1137/1107012
Document Type: Article
Language: Russian
Citation: Yu. V. Linnik, “Limit Theorems for Sums of Independent Variables Taking into Account Large Deviations. III”, Teor. Veroyatnost. i Primenen., 7:2 (1962), 121–134; Theory Probab. Appl., 7:2 (1962), 115–129
Citation in format AMSBIB
\Bibitem{Lin62}
\by Yu.~V.~Linnik
\paper Limit Theorems for Sums of Independent Variables Taking into Account Large Deviations.~III
\jour Teor. Veroyatnost. i Primenen.
\yr 1962
\vol 7
\issue 2
\pages 121--134
\mathnet{http://mi.mathnet.ru/tvp4708}
\transl
\jour Theory Probab. Appl.
\yr 1962
\vol 7
\issue 2
\pages 115--129
\crossref{https://doi.org/10.1137/1107012}
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    This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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