Displaying similar documents to “On random discrete distributions”

On the compound α(t)-modified Poisson distribution

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.

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...

Exact and approximate distributions for the product of Dirichlet components

Saralees Nadarajah, Samuel Kotz (2004)

Kybernetika

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It is well known that X / ( X + Y ) has the beta distribution when X and Y follow the Dirichlet distribution. Linear combinations of the form α X + β Y have also been studied in Provost and Cheong [S. B. Provost and Y.-H. Cheong: On the distribution of linear combinations of the components of a Dirichlet random vector. Canad. J. Statist. 28 (2000)]. In this paper, we derive the exact distribution of the product P = X Y (involving the Gauss hypergeometric function) and the corresponding moment properties. We also...

A note on the Ecogen language built-in random deviate generators.

Jordi Ocaña, M.ª Carmen Ruiz de Villa, Guillem Alonso (1986)

Qüestiió

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The standard ECOGEN (a simulation language based on Pascal) random deviate generators are described. For every one of them, a short usage note and a description of the algorithm and underlying theory is presented. This paper must be considered as an addenda to a previous one where the ECOGEN language was described. The ECOGEN random deviate generators include the continuous and discrete uniform, Poisson, binomial, exponential, Cauchy, normal or Laplace-Gauss, beta, gamma, Weibull, Pareto...