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Teoriya Veroyatnostei i ee Primeneniya, 1981, Volume 26, Issue 3, Pages 612–618 (Mi tvp2619)  

This article is cited in 2 scientific papers (total in 2 papers)

Short Communications

On decomposition of a convolution of two Poisson distributions on locally compact Abelian groups

G. M. Fel'dman, A. E. Fryntov

Har'kov
Full-text PDF (459 kB) Citations (2)
Abstract: Let $X$ be a locally compact Abelian separable group, $\displaystyle\pi=\operatorname{exp}\{-F(x)\}\sum_{n=0}^{\infty}F^{\ast n/n!}$ be the Poisson distribution (P. d.) on $X$ generated by the positive measure $F$ concentrated in the point $x\in X$. It is shown in the paper that if the elements $x_1$ and $x_2$ generating P. d.'s $\pi_1$ and $\pi_2$ have infinite order, then every divisor of the convolution $\mu=\pi_1\ast\pi_2$ is a shift of the convolution of two P. d.'s.
Received: 18.08.1978
English version:
Theory of Probability and its Applications, 1982, Volume 26, Issue 3, Pages 601–607
DOI: https://doi.org/10.1137/1126067
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. M. Fel'dman, A. E. Fryntov, “On decomposition of a convolution of two Poisson distributions on locally compact Abelian groups”, Teor. Veroyatnost. i Primenen., 26:3 (1981), 612–618; Theory Probab. Appl., 26:3 (1982), 601–607
Citation in format AMSBIB
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\by G.~M.~Fel'dman, A.~E.~Fryntov
\paper On decomposition of a~convolution of two Poisson distributions on locally compact Abelian groups
\jour Teor. Veroyatnost. i Primenen.
\yr 1981
\vol 26
\issue 3
\pages 612--618
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=627869}
\zmath{https://zbmath.org/?q=an:0488.60016|0473.60011}
\transl
\jour Theory Probab. Appl.
\yr 1982
\vol 26
\issue 3
\pages 601--607
\crossref{https://doi.org/10.1137/1126067}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981PA76400016}
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  • https://www.mathnet.ru/eng/tvp/v26/i3/p612
  • This publication is cited in the following 2 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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