The Transmuted Weibull Lomax Distribution: Properties and Application

Ahmed Z. Afify, Zohdy M. Nofal, Haitham M. Yousof, Yehia M. El Gebaly, Nadeem Shafique Butt

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.


Keywords


Weibull Lomax, Probability Weighted Moments, Entropy, Order Statistics, Maximum Likelihood.

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DOI: http://dx.doi.org/10.18187/pjsor.v11i1.956

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Title

The Transmuted Weibull Lomax Distribution: Properties and Application

Keywords

Weibull Lomax, Probability Weighted Moments, Entropy, Order Statistics, Maximum Likelihood.

Description

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.


Date

2015-03-01

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 11 No. 1, 2015



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810