Displaying similar documents to “Bounds on the information divergence for hypergeometric distributions”

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...

On formulae for central moments of counting distributions

Katarzyna Steliga, Dominik Szynal (2015)

Applicationes Mathematicae

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The aim of this article is to give new formulae for central moments of the binomial, negative binomial, Poisson and logarithmic distributions. We show that they can also be derived from the known recurrence formulae for those moments. Central moments for distributions of the Panjer class are also studied. We expect our formulae to be useful in many applications.

A note on the Polya-Eggenberger distributions with s=1 and some applications.

William C. Guenther (1981)

Trabajos de Estadística e Investigación Operativa

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Although cumulative probabilities for the Pólya-Eggenberger distributions can be easily found in modern computing facilities, the special cases s=1 can be handled with hypergeometric tables. Applications are mentioned.

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 use of difference of two proportions

Saralees Nadarajah (2009)

Applicationes Mathematicae

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Differences of two proportions occur most frequently in biomedical research. However, as far as published work is concerned, only approximations have been used to study the distribution of such differences. In this note, we derive the exact probability distribution of the difference of two proportions for seven flexible beta type distributions. The expressions involve several well known special functions. The use of these results with respect to known approximations is illustrated. ...

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,...

The elementary theory of distributions (I)

Jan Mikusiński, Roman Sikorski

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CONTENTS Introduction........................................................................................................... 3 § 1. The abstraction principle............................................................................... 4 § 2. Fundamental sequences of continuous functions......................................... 5 § 3. The definition of distributions........................................................................ 9 § 4. Distributions as a generalization of...