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Dr. Ahmed Z. Afify :: Publications:

Title:
PROPERTIES OF THE FOUR-PARAMETER WEIBULL DISTRIBUTION AND ITS APPLICATIONS
Authors: T.H.M. Abouelmagd;Saeed Al-mualim;M. Elgarhy;Ahmed Z. Afify;Munir Ahmad
Year: 2017
Keywords: Entropy;Maximum Likelihood;Moments;Order Statistics;Weibull Distribution;Weibull-G Family
Journal: Pakistan Journal of Statistics
Volume: 33
Issue: 6
Pages: 449-466
Publisher: ISOSS-Islamic Countries Society of Statistical Sciences
Local/International: International
Paper Link:
Full paper Not Available
Supplementary materials Not Available
Abstract:

In this article, we study the so-called the Weibull Weibull distribution. General explicit expressions for the quantile function, expansion of its density function, ordinary and incomplete moments, moments of the residual and reversed residual lifes, order statistics and Rényi and q–entropies are derived. The model parameters are estimated using the maximum likelihood method. Simulation results are provided to assess the accuracy and performance of the maximum likelihood estimators. The usefulness and flexibility of the Weibull Weibull model are illustrated using real data sets.

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