The Transmuted Weibull-pareto Distribution.

Ahmed Z Afify; Haitham M Yousof; Nadeem Shafique Butt; G G Hamedani

Author(s)

Ahmed Z Afify Department of Statistics, Mathematics and Insurance Benha University, Egypt

Haitham M Yousof Department of Statistics, Mathematics and Insurance Benha University, Egypt

Nadeem Shafique Butt Department of Family and Community Medicine Faculty of Medicine in Rabigh, King Abdulaziz University Jeddah, Saudi Arabia

G G Hamedani Department of Mathematics, Statistics and Computer Science Marquette University, Milwaukee, USA

Abstract

A new generalization of the Weibull-Pareto distribution called the transmuted Weibull-Pareto distribution is proposed and studied. Various mathematical properties of this distribution including ordinary and incomplete moments, quantile and generating functions, Bonferroni and Lorenz curves and order statistics are derived. The method of maximum likelihood is used for estimating the model parameters. The flexibility of the new lifetime model is illustrated by means of an application to a real data set.

Publication Details

Page(s) 183-206

DOI DOI not available

Published Journal: Pakistan Journal of Statistics, Volume: 32, Issue: 3, Year: 2016

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