On the generalization of the STER distribution applied to generalized hypergeometric parents

Gejza Wimmer; Gabriel Altmann

Displaying similar documents to “On the generalization of the STER distribution applied to generalized hypergeometric parents”

A compound of the generalized negative binomial distribution with the generalized beta distribution

Tadeusz Gerstenkorn (2004)

Open Mathematics

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This paper presents a compound of the generalized negative binomial distribution with the generalized beta distribution. In the introductory part of the paper, we provide a chronological overview of recent developments in the compounding of distributions, including the Polish results. Then, in addition to presenting the probability function of the compound generalized negative binomial-generalized beta distribution, we present special cases as well as factorial and crude moments of some...

Recursive formulas for aggregate claim distributions

H. Papageorgiou (1988)

Applicationes Mathematicae

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Compound geometric and Poisson models

Nooshin Hakamipour, Sadegh Rezaei, Saralees Nadarajah (2015)

Kybernetika

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Many lifetime distributions are motivated only by mathematical interest. Here, eight new families of distributions are introduced. These distributions are motivated as models for the stress of a system consisting of components working in parallel/series and each component has a fixed number of sub-components working in parallel/series. Mathematical properties and estimation procedures are derived for one of the families of distributions. A real data application shows superior performance...

On hypergeometric generalized negative binomial distribution.

Ghitany, M.E., Al-Awadhi, S.A., Kalla, S.L. (2002)

International Journal of Mathematics and Mathematical Sciences

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Some properties and applications of the stuttering generalized Waring distribution.

Panaretos, J. (1989)

International Journal of Mathematics and Mathematical Sciences

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On characterizing the Pólya distribution

Héctor M. Ramos, David Almorza, Juan A. García-Ramos (2002)

ESAIM: Probability and Statistics

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In this paper two characterizations of the Pólya distribution are obtained when its contagion parameter is negative. One of them is based on mixtures and the other one is obtained by characterizing a subfamily of the discrete Pearson system.

The recurrence relations for the moments of the discrete probability distributions

Tadeusz Gerstenkorn

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CONTENTS1. The presentation of the problem........................................................................................................ 51.1. Introduction.......................................................................................................................................... 51.2. The presentation of the known results........................................................................................... 52. The recurrence relations for the moments about...

On the Bayes estimators of the parameters of inflated modified power series distributions

Małgorzata Murat, Dominik Szynal (2000)

Discussiones Mathematicae Probability and Statistics

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In this paper, we study the class of inflated modified power series distributions (IMPSD) where inflation occurs at any of support points. This class includes among others the generalized Poisson,the generalized negative binomial and the lost games distributions. We derive the Bayes estimators of parameters for these distributions when a parameter of inflation is known. First, we take as the prior distribution the uniform, Beta and Gamma distribution. In the second part of this paper,...

Generalized distributions of order $k$ associated with success runs in Bernoulli trials.

Tripsiannis, Gregory A., Papathanasiou, Afroditi A., Philippou, Andreas N. (2003)

International Journal of Mathematics and Mathematical Sciences

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Some properties and applications of probability distributions based on MacDonald function

Oldřich Kropáč (1982)

Aplikace matematiky

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In the paper the basic analytical properties of the MacDonald function (the modified Bessel function of the second kind) are summarized and the properties of some subclasses of distribution functions based on MacDonald function, especially of the types $x^{n} K_{n} (x), x \geq 0, {|x|}^{n} K_{n} (x |x|), x \in 𝐑$ and $x^{n + 1} K_{n} (x), x \geq 0$ are discussed. The distribution functions mentioned are useful for analytical modelling of composed (mixed) distributions, especially for products of random variables having distributions of the exponential type. Extensive and...

Construction of multivariate distributions: a review of some recent results.

José María Sarabia, Emilio Gómez-Déniz (2008)

SORT

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The construction of multivariate distributions is an active field of research in theoretical and applied statistics. In this paper some recent developments in this field are reviewed. Specifically, we study and review the following set of methods: (a) Construction of multivariate distributions based on order statistics, (b) Methods based on mixtures, (c) Conditionally specified distributions, (d) Multivariate skew distributions, (e) Distributions based on the method of the variables...