On a Generalized Gamma Convolution Related to the q-Calculus

2005 ◽  
pp. 61-76 ◽  
Author(s):  
Christian Berg
Keyword(s):  
Generalized Gamma ◽  
Generalized Gamma Convolution

scholarly journals On Generalized Gamma Convolution Distributions

2013 ◽  
Vol 9 (1) ◽  
pp. 5-14
Author(s):  
G.G. Hamedani
Keyword(s):  
Random Variables ◽  
Simple Relationship ◽  
Generalized Gamma ◽  
Generalized Gamma Convolution ◽  
Generalized Gamma Convolutions

Abstract We present here characterizations of certain families of generalized gamma convolution distributions of L. Bondesson based on a simple relationship between two truncated moments. We also present a list of well-known random variables whose distributions or the distributions of certain functions of them belong to the class of generalized gamma convolutions.

scholarly journals On the Accuracy of the Generalized Gamma Approximation to Generalized Negative Binomial Random Sums

Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1571
Author(s):  
Irina Shevtsova ◽  
Mikhail Tselishchev
Keyword(s):  
Negative Binomial Distribution ◽  
Binomial Distribution ◽  
Law Of Large Numbers ◽  
Negative Binomial ◽  
Infinite Divisibility ◽  
Random Sums ◽  
Generalized Gamma ◽  
Second Moments ◽  
Large Numbers ◽  
Generalized Negative Binomial Distribution

We investigate the proximity in terms of zeta-structured metrics of generalized negative binomial random sums to generalized gamma distribution with the corresponding parameters, extending thus the zeta-structured estimates of the rate of convergence in the Rényi theorem. In particular, we derive upper bounds for the Kantorovich and the Kolmogorov metrics in the law of large numbers for negative binomial random sums of i.i.d. random variables with nonzero first moments and finite second moments. Our method is based on the representation of the generalized negative binomial distribution with the shape and exponent power parameters no greater than one as a mixed geometric law and the infinite divisibility of the negative binomial distribution.

scholarly journals Poisson generalized gamma process and its properties

Stochastics ◽  
2021 ◽  
pp. 1-18
Author(s):  
Ji Hwan Cha ◽  
Sophie Mercier
Keyword(s):  
Gamma Process ◽  
Generalized Gamma

scholarly journals Generalized Gamma – Generalized Gompertz Distribution

2020 ◽  
Vol 1591 ◽  
pp. 012043
Author(s):  
M A A Boshi ◽  
S H Abid ◽  
N H Al-Noor
Keyword(s):  
Gompertz Distribution ◽  
Generalized Gamma
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