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The Transmuted Weibull Lomax Distribution: Properties and Application

Pakistan Journal of Statistics and Operation Research • 2015
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Publication Information
Authors Ahmed Z. Afify, Zohdy M. Nofal, Haitham M. Yousof, Yehia M. El Gebaly, Nadeem Shafique Butt
Keywords Weibull Lomax, Probability Weighted Moments, Entropy, Order Statistics, Maximum Likelihood.
Journal Pakistan Journal of Statistics and Operation Research
Publisher Not Available
Volume 11
Issue 1
Pages 135-152
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.