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Teoriya Veroyatnostei i ee Primeneniya, 1968, Volume 13, Issue 1, Pages 175–179 (Mi tvp832)  
This article is cited in 4 scientific papers (total in 4 papers)

Short Communications

On connection between the local and integral theorems for latticed distributions

N. G. Gamkrelidze

Tbilisi State University, Laboratory of Applied Mathematics
Full-text PDF (755 kB) Citations (4)
Abstract: In the present paper a sequence of independent integer random variables is constructed which satisfies the integral limit theorem, is asymptotically uniformly distributed and has the infinite smallness property, but the local theorem fails to be valid for it. Thus Yu. V. Prohorov's hypothesis that the conditions enumerated be sufficient for the local theorem is refuted.
English version:
Theory of Probability and its Applications, 1968, Volume 13, Issue 1, Pages 174–179
DOI: https://doi.org/10.1137/1113017
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. G. Gamkrelidze, “On connection between the local and integral theorems for latticed distributions”, Teor. Veroyatnost. i Primenen., 13:1 (1968), 175–179; Theory Probab. Appl., 13:1 (1968), 174–179
Citation in format AMSBIB
\Bibitem{Gam68}
\by N.~G.~Gamkrelidze
\paper On connection between the local and integral theorems for latticed distributions
\jour Teor. Veroyatnost. i Primenen.
\yr 1968
\vol 13
\issue 1
\pages 175--179
\mathnet{http://mi.mathnet.ru/tvp832}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=224130}
\zmath{https://zbmath.org/?q=an:0196.20603}
\transl
\jour Theory Probab. Appl.
\yr 1968
\vol 13
\issue 1
\pages 174--179
\crossref{https://doi.org/10.1137/1113017}
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  • https://www.mathnet.ru/eng/tvp/v13/i1/p175
    Erratum
    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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