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Matematicheskie Zametki, 1972, Volume 12, Issue 5, Pages 639–642 (Mi mzm9927)  

Bounds in the weak law of large numbers

V. V. Petrov

Leningrad State University
Abstract: We obtain bounds of an asymptotic nature in the weak law of large numbers for sums of random variables without assuming the variables in question have any moments.
Received: 29.03.1971
English version:
Mathematical Notes, 1972, Volume 12, Issue 5, Pages 819–821
DOI: https://doi.org/10.1007/BF01099073
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. V. Petrov, “Bounds in the weak law of large numbers”, Mat. Zametki, 12:5 (1972), 639–642; Math. Notes, 12:5 (1972), 819–821
Citation in format AMSBIB
\Bibitem{Pet72}
\by V.~V.~Petrov
\paper Bounds in the weak law of large numbers
\jour Mat. Zametki
\yr 1972
\vol 12
\issue 5
\pages 639--642
\mathnet{http://mi.mathnet.ru/mzm9927}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=322933}
\zmath{https://zbmath.org/?q=an:0287.60026}
\transl
\jour Math. Notes
\yr 1972
\vol 12
\issue 5
\pages 819--821
\crossref{https://doi.org/10.1007/BF01099073}
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  • https://www.mathnet.ru/eng/mzm/v12/i5/p639
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