Alpha power transformed extended exponential distribution: properties and applications

Volume 12, Issue 4, pp 239--251 http://dx.doi.org/10.22436/jnsa.012.04.05

Publication Date: December 05, 2018 Submission Date: September 17, 2018 Revision Date: October 10, 2018 Accteptance Date: October 15, 2018

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Authors

Amal S. Hassan - Institute of Statistical Studies and Research, Cairo University, Egypt. Rokaya E. Mohamd - Institute of Statistical Studies and Research, Cairo University, Egypt. M. Elgarhy - Vice Presidency for Graduate Studies and Scientific Research, University of Jeddah, Jaddeh, KSA. Aisha Fayomi - Statistics Department, Faculty of Science, King AbdulAziz University, Jaddeh, KSA.

Abstract

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.

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Keywords

• Extended exponential
• moments
• maximum likelihood
• percentiles and Cramer-von Mises

MSC

•  60E05
•  62E10
•  62N05

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