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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. |