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

โœ Scribed by Tadeusz Gerstenkorn

Book ID
111487672
Publisher
SP Versita
Year
2004
Tongue
English
Weight
232 KB
Volume
2
Category
Article
ISSN
1895-1074

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

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A generalized negative binomial (GNB) distribution W M introduced by J m and CONSUL (1971) and was modified by NEL~ON (1976). The probability function of the distribution ie defined by the function p ( z ; m, B, 0) =-P ( 1 -O)m+~z-rforz=O,l, ..., andzerootherwise, where mrO, 0-=8<1 and /3=0 or 1 PP-