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Teoriya Veroyatnostei i ee Primeneniya, 1999, Volume 44, Issue 4, Pages 757–775
DOI: https://doi.org/10.4213/tvp1064 (Mi tvp1064) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A finitely additive version of the law of the iterated logarithm

I. Epifani, A. Lijoia

a CNR-IAMI, Italy
Full-text PDF (1993 kB) Citations (1)
DOI: https://doi.org/10.4213/tvp1064
Abstract: A finitely additive version of the law of the iterated logarithm (LIL) is proposed. The formulation involves only finite-dimensional distributions of a sequence of independent random variables $(X_n)_{n\ge 1}$. It is also proved that in the case where one deals with $\sigma$-additive probabilities, the given result is equivalent to the classical version of the LIL.
Keywords: finitely additive probability, law of the iterated logarithm, sums of independent random variables.
Received: 06.08.1997
English version:
Theory of Probability and its Applications, 2000, Volume 44, Issue 4, Pages 633–649
DOI: https://doi.org/10.1137/S0040585X97977884
Bibliographic databases:
Language: English
Citation: I. Epifani, A. Lijoi, “A finitely additive version of the law of the iterated logarithm”, Teor. Veroyatnost. i Primenen., 44:4 (1999), 757–775; Theory Probab. Appl., 44:4 (2000), 633–649
Citation in format AMSBIB
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\paper A finitely additive version of the law of the iterated logarithm
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\vol 44
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\pages 757--775
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\zmath{https://zbmath.org/?q=an:0972.60015}
\transl
\jour Theory Probab. Appl.
\yr 2000
\vol 44
\issue 4
\pages 633--649
\crossref{https://doi.org/10.1137/S0040585X97977884}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000165796900001}
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  • https://www.mathnet.ru/eng/tvp/v44/i4/p757
    • This publication is cited in the following 1 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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