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Teoriya Veroyatnostei i ee Primeneniya, 1964, Volume 9, Issue 2, Pages 331–343 (Mi tvp379)  
This article is cited in 12 scientific papers (total in 12 papers)

Short Communications

Remarks on Wiener's and Blackwell's Theorems

A. A. Borovkov

Novosibirsk
Full-text PDF (582 kB) Citations (12)
Abstract: The paper consists of two parts. In the first part conditions are discussed, for which an analytical transformation of a function, presented as an absolutely convergent Fourier series, retains asymptotic behavior of its coefficients. In the second part these conditions are used for seeking the asymptotic behavior of the remainder term in Blackwell's limit theorem. Some statements are also made therein describing the behavior of conditional mean of the first passage time in the random walk with jumps which on the average are negative.
Received: 04.04.1963
English version:
Theory of Probability and its Applications, 1964, Volume 9, Issue 2, Pages 303–312
DOI: https://doi.org/10.1137/1109043
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Borovkov, “Remarks on Wiener's and Blackwell's Theorems”, Teor. Veroyatnost. i Primenen., 9:2 (1964), 331–343; Theory Probab. Appl., 9:2 (1964), 303–312
Citation in format AMSBIB
\Bibitem{Bor64}
\by A.~A.~Borovkov
\paper Remarks on Wiener's and Blackwell's Theorems
\jour Teor. Veroyatnost. i Primenen.
\yr 1964
\vol 9
\issue 2
\pages 331--343
\mathnet{http://mi.mathnet.ru/tvp379}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=163343}
\zmath{https://zbmath.org/?q=an:0168.38405}
\transl
\jour Theory Probab. Appl.
\yr 1964
\vol 9
\issue 2
\pages 303--312
\crossref{https://doi.org/10.1137/1109043}
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  • https://www.mathnet.ru/eng/tvp/v9/i2/p331
    • This publication is cited in the following 12 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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