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Teoriya Veroyatnostei i ee Primeneniya, 1973, Volume 18, Issue 2, Pages 358–361 (Mi tvp4294)  
This article is cited in 9 scientific papers (total in 9 papers)

Short Communications

On the Order of Growth and Sums of Dependent Variables

V. V. Petrov

Leningrad
Full-text PDF (618 kB) Citations (9)
Abstract: Some estimates for sums of random variables are obtained which hold almost surely. These estimates are, in a certain sense, optimal.
Received: 15.06.1971
English version:
Theory of Probability and its Applications, 1973, Volume 18, Issue 2, Pages 348–350
DOI: https://doi.org/10.1137/1118036
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Petrov, “On the Order of Growth and Sums of Dependent Variables”, Teor. Veroyatnost. i Primenen., 18:2 (1973), 358–361; Theory Probab. Appl., 18:2 (1973), 348–350
Citation in format AMSBIB
\Bibitem{Pet73}
\by V.~V.~Petrov
\paper On the Order of Growth and Sums of Dependent Variables
\jour Teor. Veroyatnost. i Primenen.
\yr 1973
\vol 18
\issue 2
\pages 358--361
\mathnet{http://mi.mathnet.ru/tvp4294}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=319248}
\zmath{https://zbmath.org/?q=an:0295.60020}
\transl
\jour Theory Probab. Appl.
\yr 1973
\vol 18
\issue 2
\pages 348--350
\crossref{https://doi.org/10.1137/1118036}
Linking options:
  • https://www.mathnet.ru/eng/tvp4294
  • https://www.mathnet.ru/eng/tvp/v18/i2/p358
    • This publication is cited in the following 9 articles:
    1. Zbigniew S. Szewczak, “On the Komlós–Révész SLLN for Ψ-Mixing Sequences”, Entropy, 27:1 (2025), 36  crossref
    2. Lifshits M.A. Nikitin Ya.Yu. Petrov V.V. Zaitsev A.Yu. Zinger A.A., “Toward the History of the Saint Petersburg School of Probability and Statistics. i. Limit Theorems For Sums of Independent Random Variables”, Vestnik St. Petersburg Univ. Math., 51:2 (2018), 144–163  crossref  isi
    3. V. V. Petrov, “On absolute convergence of series of random variables almost surely”, J. Math. Sci. (N. Y.), 214:4 (2016), 513–516  mathnet  crossref  mathscinet
    4. V. V. Petrov, “Strengthenings of inequalities by Lyapunov, Hölder and Minkowski”, J. Math. Sci. (N. Y.), 206:2 (2015), 212–216  mathnet  crossref
    5. Yuan Liao, Andrew Rosalsky, “Some Strong Laws for Normed Weighted Sums of Stochastically Dominated Banach Space Valued Random Elements Irrespective of Their Joint Distributions”, Stochastic Analysis and Applications, 31:3 (2013), 427  crossref
    6. Andrew Rosalsky, George Stoica, “On the strong law of large numbers for identically distributed random variables irrespective of their joint distributions”, Statistics & Probability Letters, 80:17-18 (2010), 1265  crossref
    7. V. V. Petrov, “On the growth of sums of non-negative random variables”, J. Math. Sci. (N. Y.), 133:3 (2006), 1342–1344  mathnet  crossref  mathscinet  zmath
    8. V. V. Petrov, “On the growth of sums of the indicators of events”, J. Math. Sci. (N. Y.), 128:1 (2005), 2578–2580  mathnet  crossref  mathscinet  zmath
    9. Andrew Rosalsky, “On the almost certain limiting behavior of normed sums of identically distributed positive random variables”, Statistics & Probability Letters, 16:1 (1993), 65  crossref
    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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