Displaying similar documents to “On formulae for central moments of counting 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...

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...

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...

Bounds on the information divergence for hypergeometric distributions

Peter Harremoës, František Matúš (2020)

Kybernetika

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The hypergeometric distributions have many important applications, but they have not had sufficient attention in information theory. Hypergeometric distributions can be approximated by binomial distributions or Poisson distributions. In this paper we present upper and lower bounds on information divergence. These bounds are important for statistical testing and for a better understanding of the notion of exchangeability.

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.