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Dr. Ahmed Z. Afify :: Publications:

Title:
Kumaraswamy transmuted exponentiated additive Weibull distribution
Authors: Zohdy M. Nofal;Ahmed Z. Afify;Haitham M. Yousof;Daniele C. T. Granzotto;Francisco Louzada
Year: 2016
Keywords: Additive Weibull distribution;order statistics;maximum likelihood estimation;Renyi and q entropies;goodness of fit; moment;generating function
Journal: International Journal of Statistics and Probability
Volume: 5
Issue: 2
Pages: 78-99
Publisher: Canadian Center of Science and Education
Local/International: International
Paper Link:
Full paper Ahmed Zakarya Mohammad Afify_Kw-TEAW_22_Feb_IJSP_2016.pdf
Supplementary materials Not Available
Abstract:

This paper introduces a new lifetime model which is a generalization of the transmuted exponentiated additive Weibull distribution by using the Kumaraswamy generalized (Kw-G) distribution. With the particular case no less than seventy nine sub models as special cases, the so-called Kumaraswamy transmuted exponentiated additive Weibull distribution, introduced by Cordeiro and de Castro (2011) is one of this particular cases. Further, expressions for several probabilistic measures are provided, such as probability density function, hazard function, moments, quantile function, mean, variance and median, moment generation function, R ´ enyi and q entropies, order estatistics, etc. Inference is maximum likelihood based and the usefulness of the model is showed by using a real dataset.

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