On a Characterization of the Poisson Distribution and Its Statistical Applications

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Previous article Next article On a Characterization of the Poisson Distribution and Its Statistical ApplicationsL. N. Bol’shevL. N. Bol’shevhttps://doi.org/10.1137/1110052PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] S. A. Ai˘vazian, Comparison of the optimal properties of the Wald and Neyman-Pearson criteria, Theor. Probability Appl., 4 (1959), 83–89, (English translation.) MR0121905 LinkGoogle Scholar[2] L. N. Bol'šev and , N. V. Smirnov, Tablitsy matematicheskoi statistiki, Izdat. “Nauka”, Moscow, 1965, 464– MR0182072 Google Scholar[3] N. P. Buslenko, Method of Statistical Trials (Monte-Carlo Method), Fizmatgiz, Moscow, 1962, (In Russian.) Google Scholar[4] I. N. Volodin, On the distinction between the Polya and Poisson distributions when a large number of small samples is available, Theory Prob. Applications, 10 (1965), 335–338, (English translation.) 10.1137/1110039 0144.19203 LinkGoogle Scholar[5] E. L. 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B, 26 (1964), 286–292 MR0171340 0123.36502 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Multinomial Distribution: Properties and ExtensionsWiley StatsRef: Statistics Reference Online | 24 November 2014 Cross Ref Discrete Multivariate DistributionsWiley StatsRef: Statistics Reference Online | 29 September 2014 Cross Ref ReferencesInformation and Exponential Families | 13 May 2014 Cross Ref Applications of Modified Chi-Squared TestsChi-Squared Goodness of Fit Tests with Applications | 1 Jan 2013 Cross Ref BibliographyChi-Squared Goodness of Fit Tests with Applications | 1 Jan 2013 Cross Ref Multinomial DistributionsEncyclopedia of Statistical Sciences | 15 August 2006 Cross Ref A characterization of the multivariate discrete exponential familyStochastic Analysis and Applications, Vol. 18, No. 3 | 1 Jan 2000 Cross Ref Asymptotic homogeneity tests for mean exponential family distributionsJournal of Statistical Planning and Inference, Vol. 23, No. 2 | 1 Oct 1989 Cross Ref A characterization of the logarithmic series distribution and its applicationCommunications in Statistics - Theory and Methods, Vol. 13, No. 7 | 27 June 2007 Cross Ref An elementary characterization of the multinomial and the multivariate hypergeometric distributionsStability Problems for Stochastic Models | 23 September 2006 Cross Ref The computer generation of poisson random variablesComputing, Vol. 26, No. 3 | 1 Sep 1981 Cross Ref Chi Square Goodness-of-Fit Test for the Poisson, Binomial and Negative Binomial DistributionsL. 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ProkhorovTheory of Probability & Its Applications, Vol. 10, No. 3 | 17 July 2006AbstractPDF (691 KB) Volume 10, Issue 3| 1965Theory of Probability & Its Applications375-540 History Submitted:16 March 1965Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1110052Article page range:pp. 446-456ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics