Transmuted Complementary Weibull Geometric Distribution

By Ahmed Z. Afify, Zohdy M. Nofal, Nadeem Shafique Butt. 2014

81 citations recorded by the source corpus.

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 ROnyi 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.

Subfields: Finance, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/04b7d5c699a3883bc6f1de49975d9962dec4c1cc

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Finance

1. Haitham M. Yousof
2. G. Hamedani
3. Gauss Moutinho Cordeiro
4. Edwin M. M. Ortega
5. Ahmed Z. Afify
6. Nadeem Shafique Butt
7. Indranil K. Ghosh
8. Zohdy M. Nofal

In Statistics and Probability

1. Haitham M. Yousof
2. G. Hamedani
3. Ahmed Z. Afify
4. Gauss Moutinho Cordeiro
5. Nadeem Shafique Butt
6. Indranil K. Ghosh
7. Edwin M. M. Ortega
8. Morad Alizadeh

Citations in the corpus

• The Transmuted Marshall-Olkin Fr\'{e}chet Distribution: Properties and Applications (2015, methodology): “(2014) studied the transmuted exponentiated Fréchet (TEFr), Mead and Abd-Eltawab (2014) introduced the Kumaraswamy Fréchet (Kw-Fr) and Afify et al. (2015) proposed the Weibull Fréchet (WFr) distributions. In this paper, we define and study a new model by adding one parameter in equation (1) to provi”
• The four-parameter Burr XII distribution: Properties, regression model, and applications (2018, background): “…non nested models: Kumaraswamy exponentiated Burr XII (KwEBXII) (Mead and Afify, 2016), transmuted complementary Weibull geometric (TCWG) (Afify et al., 2014), exponentiated transmuted generalized Rayleigh (ETGR) (Afify et al., 2015b), transmutedMarshall-Olkin Fréchet (TMOFr) (Afify et…”
• The Weibull Fréchet distribution and its applications (2016, background): “[3] to fit the transmuted complementary Weibull geometric distribution.”
• The Transmuted Weibull Lomax Distribution: Properties and Application (2015, unknown): “The pdf s of these, non-nested, models are given as follow: • The transmuted complementary Weibull geometric (TCWG) distribution introduced by Afify et al. (2014).”
• The Marshall-Olkin Generalized-G Family of Distributions with Applications (2018, methodology): “For these data, we shall compare the fits of the MOG-Lo and MOG-W distributions with the following distributions: TCWG of Afify et al. (2014), McDonald Lomax (McLo), KwLL, ETGR, TWLo, Kumaraswamy Lomax (KwLo) of Lemonte and Cordeiro (2013), Kumaraswamy Weibull (KwW) of Cordeiro et al. (2010),…”
• The beta transmuted-H family for lifetime data (2017, unknown): “[3]), McDonald log-logistic (McLL) (Tahir et al.”
• The generalized transmuted-G family of distributions (2017, unknown): “The TCWG density (Afify et al., 2014) given by f (x) = αβγ (γ y)β−1 e−(γ y) β [α(1−λ)−(α−αλ−λ−1) e−(γ y)β ] (α+(1−α) e−(γ y)β )3 .”
• The Transmuted Exponentiated Generalized-G Family of Distributions (2015, unknown): “Shaw and Buckley (2007) defined their TG family by the cdf and pdf given by ( ) ( ), ( )(1) and ( ) ( ), ( )(2) respectively.”