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Teoriya Veroyatnostei i ee Primeneniya, 2001, Volume 46, Issue 2, Pages 366–370
DOI: https://doi.org/10.4213/tvp3923 (Mi tvp3923) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

On the Problem of Reconstructing a Summands Distribution by Their Sum

D. V. Belomestny

M. V. Lomonosov Moscow State University
Full-text PDF (581 kB) Citations (3)
DOI: https://doi.org/10.4213/tvp3923
Abstract: This paper considers the problem of reconstructing a distribution of independent identically distributed random variables by the distribution of their sum in which each summand is included with a probability $1-p$. We show the ambiguity of this reconstruction in the case of an arbitrary (including odd) number of summands for $0\le p<\frac12$.
Keywords: summands, distribution, sum, decomposition, convolution, components.
Received: 25.10.2000
English version:
Theory of Probability and its Applications, 2002, Volume 46, Issue 2, Pages 336–341
DOI: https://doi.org/10.1137/S0040585X97978968
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. V. Belomestny, “On the Problem of Reconstructing a Summands Distribution by Their Sum”, Teor. Veroyatnost. i Primenen., 46:2 (2001), 366–370; Theory Probab. Appl., 46:2 (2002), 336–341
Citation in format AMSBIB
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\by D.~V.~Belomestny
\paper On the Problem of Reconstructing a Summands Distribution by Their Sum
\jour Teor. Veroyatnost. i Primenen.
\yr 2001
\vol 46
\issue 2
\pages 366--370
\mathnet{http://mi.mathnet.ru/tvp3923}
\crossref{https://doi.org/10.4213/tvp3923}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1968691}
\zmath{https://zbmath.org/?q=an:1001.60016}
\transl
\jour Theory Probab. Appl.
\yr 2002
\vol 46
\issue 2
\pages 336--341
\crossref{https://doi.org/10.1137/S0040585X97978968}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000176400600009}
Linking options:
  • https://www.mathnet.ru/eng/tvp3923
  • https://doi.org/10.4213/tvp3923
  • https://www.mathnet.ru/eng/tvp/v46/i2/p366
    • This publication is cited in the following 3 articles:
    1. D. V. Belomestny, “Reconstruction of the general distribution by the distribution of some statistics”, Theory Probab. Appl., 49:1 (2005), 1–15  mathnet  crossref  crossref  mathscinet  zmath  isi
    2. Denis Belomestny, “Constraints on distributions imposed by properties of linear forms”, ESAIM: PS, 7 (2003), 313  crossref
    3. A. V. Prokhorov, N. G. Ushakov, “On the Problem of Reconstructing a Summands Distribution by the Distribution of Their Sum”, Theory Probab. Appl., 46:3 (2002), 420–430  mathnet  mathnet  crossref  crossref  isi
    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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