Universal distribution for infinitely divisible distributions on Frèchet space

Ho Dang Phuc

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

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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...