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Teoriya Veroyatnostei i ee Primeneniya, 1972, Volume 17, Issue 1, Pages 84–98 (Mi tvp4191)  
This article is cited in 8 scientific papers (total in 8 papers)

Some Theorems on the Strong Law of Large Numbers and Law of the Iterated Logarithm

V. A. Egorov

Leningrad State University
Full-text PDF (1898 kB) Citations (8)
Abstract: The paper gives some new conditions for the strong law of large numbers and the law of the iterated logarithm for a sequence of independent random variables.
Received: 11.03.1970
English version:
Theory of Probability and its Applications, 1972, Volume 17, Issue 1, Pages 86–100
DOI: https://doi.org/10.1137/1117007
Bibliographic databases:
Language: Russian
Citation: V. A. Egorov, “Some Theorems on the Strong Law of Large Numbers and Law of the Iterated Logarithm”, Teor. Veroyatnost. i Primenen., 17:1 (1972), 84–98; Theory Probab. Appl., 17:1 (1972), 86–100
Citation in format AMSBIB
\Bibitem{Ego72}
\by V.~A.~Egorov
\paper Some Theorems on the Strong Law of Large Numbers and Law of the Iterated Logarithm
\jour Teor. Veroyatnost. i Primenen.
\yr 1972
\vol 17
\issue 1
\pages 84--98
\mathnet{http://mi.mathnet.ru/tvp4191}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=305459}
\zmath{https://zbmath.org/?q=an:0271.60037}
\transl
\jour Theory Probab. Appl.
\yr 1972
\vol 17
\issue 1
\pages 86--100
\crossref{https://doi.org/10.1137/1117007}
Linking options:
  • https://www.mathnet.ru/eng/tvp4191
  • https://www.mathnet.ru/eng/tvp/v17/i1/p84
    • This publication is cited in the following 8 articles:
    1. 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
    2. Allan Gut, Ulrich Stadtmüller, “Strong laws for sequences in the vicinity of the LIL”, Statistics & Probability Letters, 122 (2017), 63  crossref
    3. Korchevsky V., “a Generalization of the Petrov Strong Law of Large Numbers”, Stat. Probab. Lett., 104 (2015), 102–108  crossref  isi
    4. A. N. Frolov, “On the law of the iterated logarithm for increments of sums of independent random variables”, J. Math. Sci. (N. Y.), 137:1 (2006), 4575–4582  mathnet  crossref  mathscinet  zmath
    5. Rainer Wittmann, “Sufficient moment and truncated moment conditions for the law of the iterated logarithm”, Probab. Th. Rel. Fields, 75:4 (1987), 509  crossref
    6. A. I. Martikainen, “On the one-sided law of iterated logarithm”, Theory Probab. Appl., 30:4 (1986), 736–749  mathnet  mathnet  crossref  isi
    7. M. J. Klass, R. J. Tomkins, “On the limiting behavior of normed sums of independent random variables”, Z. Wahrscheinlichkeitstheorie verw Gebiete, 68:1 (1984), 107  crossref
    8. W. A. Woyczyński, “Random Series and Laws of Large Numbers in Some Banach Spaces”, Theory Probab. Appl., 18:2 (1973), 350–355  mathnet  mathnet  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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