Staff Members - Benha University
Transmuted Complementary Weibull Geometric Distribution
Pakistan Journal of Statistics and Operation Research • 2014
Publication Information
Authors
Ahmed Z. Afify, Zohdy M. Nofal and Nadeem Shafique Butt
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
Publisher
Not Available
Volume
4
Issue
10
Pages
435-454
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
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.
(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.