Geodesic
Alpha power transformed extended exponential distribution: properties and applications
Hassan, Amal S. 1 ; Mohamd, Rokaya E. 1 ; Elgarhy, M. 2 ; Fayomi, Aisha3
1 Institute of Statistical Studies and Research, Cairo University, Egypt
2 Vice Presidency for Graduate Studies and Scientific Research, University of Jeddah, Jaddeh, KSA
3 Statistics Department, Faculty of Science, King AbdulAziz University, Jaddeh, KSA
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 4, p. 239-251.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, a three-parameter lifetime model motivated by alpha power transformation is considered. We call the proposed distribution as; the \textit{alpha power transformed extended exponential} (APTEE). The APTEE model contains new recent models as; alpha power transformed exponential and alpha power transformed Lindley distributions. At the same time, it contains classical models as exponential, gamma, and Lindley distributions. The properties of the APTEE distribution are derived. Parameter estimation is accomplished using maximum likelihood, percentiles, and Cramer-von Mises methods. Simulation issues and applications to real data are emphasized.
DOI : 10.22436/jnsa.012.04.05
Classification : 60E05, 62E10, 62N05
Keywords: Extended exponential, moments, maximum likelihood, percentiles and Cramer-von Mises

Hassan, Amal S.  1 ; Mohamd, Rokaya E.  1 ; Elgarhy, M.  2 ; Fayomi, Aisha 3

1 Institute of Statistical Studies and Research, Cairo University, Egypt
2 Vice Presidency for Graduate Studies and Scientific Research, University of Jeddah, Jaddeh, KSA
3 Statistics Department, Faculty of Science, King AbdulAziz University, Jaddeh, KSA 
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Hassan, Amal S. ; Mohamd, Rokaya E. ; Elgarhy, M. ; Fayomi, Aisha. Alpha power transformed extended exponential distribution: properties and applications. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 4, p. 239-251. doi : 10.22436/jnsa.012.04.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.04.05/

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