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.
@article{bwmeta1.element.doi-10_2478_BF02475961,
author = {Tadeusz Gerstenkorn},
title = {A compound of the generalized negative binomial distribution with the generalized beta distribution},
journal = {Open Mathematics},
volume = {2},
year = {2004},
pages = {527-537},
zbl = {1059.60015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02475961}
}
Tadeusz Gerstenkorn. A compound of the generalized negative binomial distribution with the generalized beta distribution. Open Mathematics, Tome 2 (2004) pp. 527-537. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02475961/
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