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Open Mathematics
Article . 2004 . Peer-reviewed
License: CC BY NC ND
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Open Mathematics
Article . 2004
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zbMATH Open
Article . 2004
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https://dx.doi.org/10.2478/bf0...
Article
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A compound of the generalized negative binomial distribution with the generalized beta distribution

A compound of the generalized negative binomial distribu\-tion with the generalized beta distri\-bution
descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2004 English Publisher:Walter de Gruyter GmbHJournal:Open Mathematics, volume 2, pages 527-537 (eissn: 2391-5455, Copyright policy )
Authors: Gerstenkorn Tadeusz;

doi: 10.2478/bf02475961

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

Abstract

Abstract 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 compound distributions.

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Keywords

compound distributions, generalized negative binomial distribution, factorial and crude moments, 60, QA1-939, Probability distributions: general theory, generalized beta distribution, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
gold