On identifiability of mixtures of composed Poisson distributions
W. Klonecki (1971)
Applicationes Mathematicae
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W. Klonecki (1971)
Applicationes Mathematicae
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Katarzyna Steliga, Dominik Szynal (2015)
Applicationes Mathematicae
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In this paper we introduce compound α(t)-modified Poisson distributions. We obtain the compound Delaporte distribution as the special case of the compound α(t)-modified Poisson distribution. The characteristics of α(t)-modified Poisson and some compound distributions with gamma, exponential and Panjer summands are presented.
Vernic, Raluca (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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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.
Alice Cleynen, Emilie Lebarbier (2014)
ESAIM: Probability and Statistics
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We consider the segmentation problem of Poisson and negative binomial (overdispersed Poisson) rate distributions. In segmentation, an important issue remains the choice of the number of segments. To this end, we propose a penalized -likelihood estimator where the penalty function is constructed in a non-asymptotic context following the works of L. Birgé and P. Massart. The resulting estimator is proved to satisfy an oracle inequality. The performances of our criterion is assessed using...
Célestin C. Kokonendji, Simplice Dossou-Gbété, Clarice G. B. Demétrio (2004)
SORT
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In this paper we investigate two classes of exponential dispersion models (EDMs) for overdispersed count data with respect to the Poisson distribution. The first is a class of Poisson mixture with positive Tweedie mixing distributions. As an approximation (in terms of unit variance function) of the first, the second is a new class of EDMs characterized by their unit variance functions of the form μ + μ, where p is a real index related to a precise model. These two classes provide some...
Sotirios Loukas, Evgenia H. Papageorgiou (1991)
Applications of Mathematics
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A four parameter trivariate Poisson distribution is considered. Recurrences for the probabilities and the partial derivatives of the probabilities with respect to the parameters are derived. Solutions of the maximum likelihood equations are obtaired and the determinant of their asymptotic covariance matrix is given. Applications of the maximum likelihood estimation technique to simulated data sets are also examined.
S Loukas (1991)
Applicationes Mathematicae
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P.C. Consul, Felix Famoye (1995)
Metrika
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Raghavendra Krishna, Varahamurti (1967)
Portugaliae mathematica
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Ch.A. Charalambides (1986)
Metrika
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