The Generalized Gamma – Exponentiated Weibull Distribution with its Properties
Author(s) -
Salah H. Abid,
Nadia Hashim Al-Noor,
Mohammad Abd Alhussein Boshi
Publication year - 2020
Publication title -
al-mustansiriyah journal of science
Language(s) - English
Resource type - Journals
eISSN - 2521-3520
pISSN - 1814-635X
DOI - 10.23851/mjs.v31i2.775
Subject(s) - weibull distribution , exponentiated weibull distribution , mathematics , quantile function , moment generating function , generalized integer gamma distribution , quantile , gamma distribution , generalized gamma distribution , cumulative distribution function , probability density function , statistics , log logistic distribution , statistical physics , failure rate , distribution (mathematics) , mathematical analysis , physics
In this paper, we present the Generalized Gamma-Exponentiated Weibull distribution as a special case of new generated Generalized Gamma - G family of probability distribution. The cumulative distribution, probability density, reliability and hazard rate functions are introduced. Furthermore, the most vital statistical properties, for instance, the r-th moment, characteristic function, quantile function, simulated data, Shannon and relative entropies besides the stress-strength model are obtained.
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