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Dr. Ahmed Z. Afify :: Publications:

Transmuted Complementary Weibull Geometric Distribution
Authors: Ahmed Z. Afify, Zohdy M. Nofal and Nadeem Shafique Butt
Year: 2014
Keywords: Transmutation, complementary Weibull geometric, Reliability Function, Moment Generating Function, Rényi Entropy, Order Statistics, Maximum Likelihood Estimation.
Journal: Pakistan Journal of Statistics and Operation Research
Volume: 4
Issue: 10
Pages: 435-454
Publisher: Not Available
Local/International: International
Paper Link:
Full paper Ahmed Zakarya Mohammad Afify_TCWG-2014-PJSOR.pdf
Supplementary materials Not Available

This paper provides a new generalization of the complementary Weibull geometric distribution introduced by Tojeiro et al. (2014), using the quadratic rank transmutation map studied by Shaw and Buckley (2007). The new distribution is referred to as transmuted complementary Weibull geometric distribution (TCWGD). The TCWG distribution includes as special cases 11 sub models such as the complementary Weibull geometric distribution (CWGD), complementary exponential geometric distribution (CEGD), Weibull distribution (WD), exponential distribution (ED) and three new submodels. Various structural properties of the new distribution including moments, quantiles, moment generating function and Rényi entropy of the subject distribution are derived. We proposed the method of maximum likelihood for estimating the model parameters. Two real data sets are used to compare the flexibility of the new model versus the complementary Weibull geometric distribution.

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