RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Subscription Guidelines for authors Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Teor. Veroyatnost. i Primenen.: Year: Volume: Issue: Page: Find

 Teor. Veroyatnost. i Primenen., 1964, Volume 9, Issue 2, Pages 331–343 (Mi tvp379)

Short Communications

Remarks on Wiener's and Blackwell's Theorems

A. A. Borovkov

Novosibirsk

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.

Full text: PDF file (582 kB)

English version:
Theory of Probability and its Applications, 1964, 9:2, 303–312

Bibliographic databases:

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://www.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} 

• http://mi.mathnet.ru/eng/tvp379
• http://mi.mathnet.ru/eng/tvp/v9/i2/p331

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. A. Vatutin, V. A. Topchiǐ, “Catalytic branching random walks in $\mathbb Z^d$ with branching at the origin”, Siberian Adv. Math., 23:2 (2013), 125–153