The Transmuted Weibull Lomax Distribution: Properties and Application | [Pakistan Journal of Statistics and Operation Research • 2015]

Author(s):

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

2. Zohdy M. Nofal: Department of Statistics, Mathematics and Insurance Benha University, Egypt

3. Haitham M. Yousof: Department of Statistics, Mathematics and Insurance Benha University, Egypt

4. Yehia M. El Gebaly: Department of Statistics, Mathematics and Insurance Benha University, Egypt

5. Nadeem Shafique Butt: Department of Family and Community Medicine, Rabigh King Abdul Aziz University, Jeddah, Kingdom of Saudi Arabia

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.

Page(s): 135-152

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 11, Issue: 1, Year: 2015

Keywords:

Entropy , Order statistics , Maximum Likelihood , Probability Weighted Moments , Weibull Lomax

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