Staff Members - Benha University
The Transmuted Weibull Lomax Distribution: Properties and Application
Pak.j.stat.oper.res. • 2015
Publication Information
Authors
Ahmed Z. Afify
Department of Statistics, Mathematics and Insurance
Benha University, Egypt
ahmed.afify@fcom.bu.edu.eg
Zohdy M. Nofal
Department of Statistics, Mathematics and Insurance
Benha University, Egypt
dr.zohdynofal@fcom.bu.edu.eg
Haitham M
Keywords
Weibull Lomax, Probability Weighted Moments, Entropy, Order Statistics,
Maximum Likelihood.
Journal
Pak.j.stat.oper.res.
Publisher
Pakistan
Volume
Vol.XI
Issue
No.1 2015
Pages
pp151-168
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
A new five parameter model is proposed and stutied. The new distribution generalizes the Weibull Lomax
distribution introduced by Tahir et al. (2015) and is referred to as transmuted Weibull Lomax (TWL)
distribution. Various structural properties of the new model including ordinary and incomplete moments,
quantiles, generating function, probability weighted moments, Rényi and q-entropies and order statistics are
derived. We proposed the method of maximum likelihood for estimating the model parameters. The
usefulness of the new model is illustrated through an application to a real data set.
distribution introduced by Tahir et al. (2015) and is referred to as transmuted Weibull Lomax (TWL)
distribution. Various structural properties of the new model including ordinary and incomplete moments,
quantiles, generating function, probability weighted moments, Rényi and q-entropies and order statistics are
derived. We proposed the method of maximum likelihood for estimating the model parameters. The
usefulness of the new model is illustrated through an application to a real data set.