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Teoriya Veroyatnostei i ee Primeneniya, 2004, Volume 49, Issue 1, Pages 3–20
DOI: https://doi.org/10.4213/tvp233 (Mi tvp233) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Reconstruction of the general distribution by the distribution of some statistics

D. V. Belomestny

M. V. Lomonosov Moscow State University
Full-text PDF (1461 kB) Citations (3)
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DOI: https://doi.org/10.4213/tvp233
Abstract: We investigate the problem of characterizing the distribution of independent identically distributed random variables $X_1,\ldots,X_m$ (general distribution) by the distribution of linear statistics and statistics of maximum with positive coefficients. Necessary and sufficient conditions are found under which such a characterization takes place.
Keywords: characterization of distributions by the distributions of statistics, linear statistics, statistics of maximum.
Received: 19.04.2001
English version:
Theory of Probability and its Applications, 2005, Volume 49, Issue 1, Pages 1–15
DOI: https://doi.org/10.1137/S0040585X9798083X
Bibliographic databases:
Language: Russian
Citation: D. V. Belomestny, “Reconstruction of the general distribution by the distribution of some statistics”, Teor. Veroyatnost. i Primenen., 49:1 (2004), 3–20; Theory Probab. Appl., 49:1 (2005), 1–15
Citation in format AMSBIB
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\paper Reconstruction of the general distribution by the distribution of some
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\jour Theory Probab. Appl.
\yr 2005
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\issue 1
\pages 1--15
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  • https://doi.org/10.4213/tvp233
  • https://www.mathnet.ru/eng/tvp/v49/i1/p3
    • This publication is cited in the following 3 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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