Ahmed Z. Afify
Asst. Professor
The Extended Burr XII Distribution with Variable Shapes for the Hazard Rate
Pakistan Journal of Statistics and Operation Research • 2017
Publication Information
Authors
T. H. M. Abouelmagd;M. S. Hamed;Ahmed Z. Afify
Keywords
Burr XII Distribution;Exponentiated Weibull-H family; Generating
Function;Maximum Likelihood
Journal
Pakistan Journal of Statistics and Operation Research
Publisher
Punjab University Press
Volume
13
Issue
3
Pages
687-968
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
We define and study a new continuous distribution called the exponentiated Weibull Burr XII. Its density
function can be expressed as a linear mixture of Burr XII. Its hazard rate is very flexibile in accomodating
various shapes including constant, decreasing, increasing, J-shape, unimodal or bathtub shapes. Various of
its structural properties are investigated including explicit expressions for the ordinary and incomplete
moments, generating function, mean residual life, mean inactivity time and order statistics. We adopted the
maximum likelihood method for estimating the model parameters. The flexibility of the new family is
illustrated by means of a real data application.
function can be expressed as a linear mixture of Burr XII. Its hazard rate is very flexibile in accomodating
various shapes including constant, decreasing, increasing, J-shape, unimodal or bathtub shapes. Various of
its structural properties are investigated including explicit expressions for the ordinary and incomplete
moments, generating function, mean residual life, mean inactivity time and order statistics. We adopted the
maximum likelihood method for estimating the model parameters. The flexibility of the new family is
illustrated by means of a real data application.