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Teoriya Veroyatnostei i ee Primeneniya, 1981, Volume 26, Issue 4, Pages 835–841 (Mi tvp3515)  
This article is cited in 14 scientific papers (total in 14 papers)

Short Communications

On the smoothing of probabilities for the sums of integer valued random variables

N. G. Gamkrelidze

Tbilisi
Full-text PDF (1674 kB) Citations (14)
Abstract: Let $\xi_1,\xi_2,\dots$ be integer valued independent random variables and $S_n=\xi_1+\dots+\xi_n$. We introduce the function
$$ \sum_m|\mathbf P\{S_n=m\}-\mathbf P\{S_n=m-1\}| $$
as a measure of the «smoothness» of the distribution $S_n$. Some properties of this function are investigated.
Received: 06.05.1980
English version:
Theory of Probability and its Applications, 1982, Volume 26, Issue 4, Pages 823–828
DOI: https://doi.org/10.1137/1126091
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. G. Gamkrelidze, “On the smoothing of probabilities for the sums of integer valued random variables”, Teor. Veroyatnost. i Primenen., 26:4 (1981), 835–841; Theory Probab. Appl., 26:4 (1982), 823–828
Citation in format AMSBIB
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\by N.~G.~Gamkrelidze
\paper On the smoothing of probabilities for the sums of integer valued random variables
\jour Teor. Veroyatnost. i Primenen.
\yr 1981
\vol 26
\issue 4
\pages 835--841
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=636780}
\zmath{https://zbmath.org/?q=an:0501.60027|0491.60020}
\transl
\jour Theory Probab. Appl.
\yr 1982
\vol 26
\issue 4
\pages 823--828
\crossref{https://doi.org/10.1137/1126091}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1982PM42700017}
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  • https://www.mathnet.ru/eng/tvp/v26/i4/p835
    • This publication is cited in the following 14 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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