Exchangeable pairs and Poisson approximation.
Chatterjee, Sourav, Diaconis, Persi, Meckes, Elizabeth (2005)
Probability Surveys [electronic only]
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Chatterjee, Sourav, Diaconis, Persi, Meckes, Elizabeth (2005)
Probability Surveys [electronic only]
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M. Majsnerowska (1998)
Applicationes Mathematicae
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One more method of Poisson approximation is presented and illustrated with examples concerning binomial, negative binomial and hypergeometric distributions.
Lazăr, Dorina, Lazăr, Ioan, Parpucea, Ilie (2007)
Acta Universitatis Apulensis. Mathematics - Informatics
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Roellin, Adrian (2008)
Electronic Journal of Probability [electronic only]
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Neammanee, K. (2005)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Teerapabolarn, Kanint, Neammanee, Kritsana (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Stoynov, Pavel (2011)
Union of Bulgarian Mathematicians
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Павел Т. Стойнов - В тази работа се разглежда отрицателно биномното разпределение, известно още като разпределение на Пойа. Предполагаме, че смесващото разпределение е претеглено гама разпределение. Изведени са вероятностите в някои частни случаи. Дадени са рекурентните формули на Панжер. In this paper the mixed negative binomial distribution, known also as P´olya distribution is considered. We suppose that the mixing distribution is a weighted Gamma distribution. We derive...
Zofia Grudzień, Dominik Szynal (1995)
Applicationes Mathematicae
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We give characterizations of the uniform distribution in terms of moments of order statistics when the sample size is random. Special cases of a random sample size (logarithmic series, geometrical, binomial, negative binomial, and Poisson distribution) are also considered.
Ilona Kopocińska (1999)
Applicationes Mathematicae
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The bivariate negative binomial distribution is introduced using the Marshall-Olkin type bivariate geometrical distribution. It is used to the estimation of the distribution of the number of accidents in standard data.
Jadwiga Dudkiewicz (1998)
Applicationes Mathematicae
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We present conditions sufficient for the weak convergence to a compound Poisson distribution of the distributions of the kth order statistics for extremes of moving minima in arrays of independent random variables.
Inoue, Rei, Konishi, Yukiko (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Bulut, Serap (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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