Transmuted Complementary Weibull Geometric Distribution

Ahmed Z. A…fify, Zohdy M. Nofal, Nadeem Shafique Butt

Abstract


This paper provides a new generalization of the complementary Weibull geometric distribution that 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 the complementary Weibull geometric distribution (CWGD), complementary exponential geometric distribution(CEGD),Weibull distribution (WD) and exponential distribution (ED). Various structural properties of the new distribution including moments, quantiles, moment generating function and RØnyi entropy of the subject distribution are derived. We proposed the method of maximum likelihood for estimating the model parameters and obtain the observed information matrix. A real data set are used to compare the exibility of the transmuted version versus the complementary Weibull geometric distribution.


Keywords


Transmutation, complementary Weibull geometric, Reliability Function, Moment Generating Function, Renyi Entropy, Order Statistics, Maximum Likelihood Estimation

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DOI: http://dx.doi.org/10.18187/pjsor.v10i4.836

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Copyright (c) 2014 Pakistan Journal of Statistics and Operation Research

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Title

Transmuted Complementary Weibull Geometric Distribution

Keywords

Transmutation, complementary Weibull geometric, Reliability Function, Moment Generating Function, Renyi Entropy, Order Statistics, Maximum Likelihood Estimation

Description

This paper provides a new generalization of the complementary Weibull geometric distribution that 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 the complementary Weibull geometric distribution (CWGD), complementary exponential geometric distribution(CEGD),Weibull distribution (WD) and exponential distribution (ED). Various structural properties of the new distribution including moments, quantiles, moment generating function and RØnyi entropy of the subject distribution are derived. We proposed the method of maximum likelihood for estimating the model parameters and obtain the observed information matrix. A real data set are used to compare the ‡exibility of the transmuted version versus the complementary Weibull geometric distribution.


Date

2014-12-31

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 10 No. 4, 2014



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810