The Extended Burr XII Distribution with Variable Shapes for the Hazard Rate | [Pakistan Journal of Statistics and Operation Research • 2017]

Author(s):

1. T. H. M. Abouelmagd: Management Information System Department, Taibah University, Saudi Arabia; Department of Statistics, Mathematics and Insurance Benha University, Egypt

2. M. S. Hamed: Management Information System Department, Taibah University, Saudi Arabia; Department of Statistics, Mathematics and Insurance Benha University, Egypt

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

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.

Page(s): 687-698

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 13, Issue: 3, Year: 2017

Keywords:

maximum likelihood , Burr XII Distribution , Exponentiated Function

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