The Generalized Gamma – Exponentiated Weibull Distribution with its Properties
DOI:
https://doi.org/10.23851/mjs.v31i2.775Keywords:
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.
References
Z. Ahmad, M. Elgarhy and G. G. Hamedani, A new Weibull-X family of distributions: properties, characterizations and applications, J. Stat. Dis. Appl., vol. 5, pp. 1-18, 2018. CROSSREF
M. Alizadeh, M. Rasekhi, H. M. Yousof, and G. G. Hamedani, The transmuted Weibull-G family of distributions, Hace. J. Math. Stat., vol. 47, pp. 1671-1689, 2018. CROSSREF
B. Hosseini, M. Afshari, and M. Alizadeh, The Generalized Odd Gamma-G Family of Distributions: Properties and Applications, Aust. J. Stat., vol. 47, pp. 69-89, 2018. CROSSREF
G. M. Cordeiro, A. Z. Afify, H. M. Yousof, R. R. Pescim, and G. R. Aryal, The exponentiated Weibull-H family of distributions: theory and applications, Med. J. of Math., vol. 14, pp. 1-22, 2017. CROSSREF
G. S. Mudholkar, D. K. Srivastava and M. Freimer, The exponentiated Weibull family: a reanalysis of the bus-motor-failure data, Tech., vol. 37, pp. 436-445, 1995. CROSSREF
E.W. Stacy, A generalization of the gamma distribution, Ann. Math. Stat., vol. 33, pp. 1187-1192, 1962. CROSSREF
J. W. Shin, J. H. Chang and N. S. Kim, Statistical modeling of speech signals based on generalized gamma distribution, IEEE Sign. Proc. Let., vol. 12, pp. 258-261, 2005. CROSSREF
S. Nadarajah and R. Rocha, Newdistns: An R package for new families of distributions, J. Stat. Soft., vol. 69, pp. 1-32, 2016. CROSSREF
M. H. Tahir, M. Zubair, M. Mansoor, G. M. Cordeiro, M. Alizadeh, and G. G. Hamedani, A New Weibull-G family of distributions, Hacettepe Journal of Mathematics and Statistics, vol. 45, pp. 629 -647, 2016. CROSSREF
N. H. Al-Noor, S. H. Abid and M. A. A. Boshi, On the Exponentiated Weibull Distribution, AIP Conference Proceedings, vol. 2183, 2019. CROSSREF
G. S. Mudholkar and D. K. Srivastava, Exponentiated Weibull family for analyzing bathtub failure rate data, IEEE Tran. Rel. , vol. 42, pp. 299-302, 1993. CROSSREF
Downloads
Published
How to Cite
Issue
Section
License
Articles accepted for publication in Al-Mustansiriyah Journal of Science (MJS) are protected under the Creative Commons Attribution 4.0 International License (CC-BY-NC). Authors of accepted articles are requested to sign a copyright release form prior to their article being published. All authors must agree to the submission, sign copyright release forms, and agree to be included in any correspondence between MJS and the authors before submitting a work to MJS. For personal or educational use, permission is given without charge to print or create digital copies of all or portions of a MJS article. However, copies must not be produced or distributed for monetary gain. It is necessary to respect the copyright of any parts of this work that are not owned by MJS.