Article


Article Code : 13970719164948

Article Title : A New Extended Alpha Power Transformed Family of Distributions: Properties and Applications

Keywords :

Journal Number : 2 Spring-Summer 2018

Visited : 14

Files : 521 KB


List of Authors

  Full Name Email Grade Degree Corresponding Author
1 Zubair Ahmad z.ferry21@gmail.com Post Graduate Student PhD
2 M. Elgarhy m_elgarhy85@yahoo.com Associate Professor PhD

Abstract

In this paper, a new method has been proposed to incorporate an extra parameter to a family of lifetime distributions for more flexibility. A special sub-case has been considered in details namely; two parameter Weibull distribution. Various mathematical properties of the proposed distribution, including explicit expressions for the moments, quantiles, moment generating function, residual life, mean residual life and order statistics are derived. The maximum likelihood estimators of unknown parameters cannot be obtained in explicit forms, and they have to be obtained by solving non-linear equations only. A simulation study is conducted to evaluate the performances of these estimators. For the illustrative purposes, two data sets have been analyzed to show how the proposed model work in practice.