The Generalized Gamma – Exponentiated Weibull Distribution with its Properties

Salah Hamza Abid; Nadia Hashim Al-Noor; Mohammad Abd Alhussein Boshi

doi:10.23851/mjs.v31i2.775

Authors

Salah Hamza Abid Department of Mathematics, College of Education, Mustansiriyah University
Nadia Hashim Al-Noor Department of Mathematics, College of Science, Mustansiriyah University http://orcid.org/0000-0002-4433-9044
Mohammad Abd Alhussein Boshi Department of Mathematics, College of Science, Mustansiriyah University

DOI:

https://doi.org/10.23851/mjs.v31i2.775

Keywords:

generated family, generalized gamma distribution, exponentiated Weibull distribution.

Abstract

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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