Odd generalized exponential power function distribution: properties and applications

In this article we introduce and study a new four-parameter distribution, called the odd generalized exponential power function distribution. The proposed model is a particular case from the odd generalized exponential family. Expressions for the moments, probability weighted moments, quantile funct...

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Bibliographic Details
Published in:	Gazi University Journal of Science Vol. 32; no. 1; pp. 351 - 370
Main Authors:	Hassan,Amal, ElSherpieny,Elsayed, Mohamed,Rokaya
Format:	Journal Article
Language:	English
Published:	Gazi Üniversitesi Yayınları 01-01-2019
Subjects:	Bilim-Teknoloji Ankara Türkiye Maximum likelihood estimation Order statistics Power Function distribution
Online Access:	Get full text
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Summary:	In this article we introduce and study a new four-parameter distribution, called the odd generalized exponential power function distribution. The proposed model is a particular case from the odd generalized exponential family. Expressions for the moments, probability weighted moments, quantile function, Bonferroni and Lorenz curves, Rényi entropy and order statistics are obtained. The model parameters are estimated via the maximum likelihood and percentiles methods of estimation. A simulation study is carried out to evaluate and compare the performance of estimates in terms of their biases, standard errors and mean square errors. Eventually, the practical importance and flexibility of the proposed distribution in modelling real data application is checked. It can be concluded that the new distribution works better than some other known distributions.
ISSN:	2147-1762