The Transmuted Exponentiated Generalized-G Family of Distributions

By Haitham M. Yousof, Ahmed Z. Afify, Morad Alizadeh, Nadeem Shafique Butt, G. Hamedani, M. Masoom Ali. 2015

141 citations recorded by the source corpus.

We introduce a new class of continuous distributions called the transmuted exponentiated generalized-G family which extends the exponentiated generalized-G class introduced by Cordeiro et al. (2013). We provide some special models for the new family. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Renyi and Shannon entropies, order statistics and probability weighted moments are derived. The estimation of the model parameters is performed by maximum likelihood. The flexibility of the proposed family is illustrated by means of an applications to real dataset.

Subfields: Finance, Global and Planetary Change, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/c752a42daec0b4df7f7bbc0727fb53b6cc944911

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Citations in the corpus

The four-parameter Burr XII distribution: Properties, regression model, and applications (2018, background): “…Fréchet (TMOFr) (Afify et al., 2015a), beta exponentiated Burr XII (BEBXII) (Mead, 2014), transmuted exponentiated generalized Weibull (TExGW) (Yousof et al. 2015), Weibull Fréchet (WFr) (Afify et al., 2016), Weibull Lomax (WL) (Tahir et al., 2015), and beta Burr XII (BBXII) (Paranaíba et…”
The Topp–Leone odd log-logistic family of distributions (2017, unknown): “[10], Kumaraswamy transmuted-G by Afify et al.”
The Exponentiated Generalized-G Poisson Family of Distributions (2017, background): “…Marshall-Olkin-G family by Marshall and Olkin (1997), exponentiated-G class by Gupta et al. (1998), transmuted exponentiated generalized-G family by Yousof et al.(2015), transmuted geometric-G by Afify et al. (2016a), Kumaraswamy transmuted-G by Afify et al. (2016b), beta transmuted-H by Afify et…”
A New Weibull Class of Distributions: Theory, Characterizations and Applications (2018, background): “Other generators that can be cited are Barreto-Souza and Simas (2013), Alzaatreh et al. (2013), Bourguignon et al. (2014), Yousof et al. (2015), Tahir et al (2016), Afify et al. (2016b), Afify et al. (2016a), Yousof et al. (2016), Merovci et al. (2016), Korkmaz and Genc (2016), Alizadeh et al.…”
The Transmuted Topp-Leone G Family of Distributions: Theory, Characterizations and Applications (2021, methodology): “…al. (2013), a new method for generating families of continuous distributions by Alzaatreh et al. (2013), transmuted exponentiated generalized-G by Yousof et al. (2015), exponentiated transmuted-G by Merovc et al. (2016), Burr X-G by Yousof et al. (2016), transmuted Weibull G family by Alizadeh…”
The Heavy-Tailed Exponential Distribution: Risk Measures, Estimation, and Application to Actuarial Data (2020, background): “We compare the goodness-of-fit results and some discrimination measures of the proposed distribution with some other well-known competing distributions, including the APE [20], ExE [21], beta exponential (BE) [32], E, extended odd Weibull exponential (EOWE) [33], exponentiated Weibull (ExW) [34], We”
The exponentiated transmuted-G family of distributions: Theory and applications (2017, background): “…family by Alizadeh et al. (2016), another generalized transmuted family by Merovci et al. (2016), transmuted exponentiated generalized-G family by Yousof et al. (2015), transmuted geometric G family by Afify et al. (2016a), beta transmuted-H family by Afify et al. (2016c), and Kumaraswamy…”
The Generalized Odd Weibull Generated Family of Distributions:Statistical Properties and Applications (2018, background): “Many other classes cited by Marshall and Olkin (1997), Eugene et al. (2002), Cordeiro et al. (2013), Alzaatreh et al. (2013), Yousof et al. (2015), Merovc et al. (2016), Yousof et al. (2016), Alizadeh et al. (2016a,b), Afify et al.(2016a,b,c,d), Aryal and Yousof (2017), Korkmaz and Genç (2017),…”
The Topp-Leone Generated Weibull Distribution: Regression Model, Characterizations and Applications (2016, unknown): “…Weibull (Merovci & Elbatal, 2013), beta inverse Weibull (Hanook, Shahbaz, Mohsin,& Kibria, 2013), transmuted exponentiated generalized Weibull (Yousof et al., 2015), McDonald Weibull (Cordeiro, Hashimoto, & Ortega, 2014), gamma Weibull (Provost, Saboor, & Ahmad, 2011), transmuted modified…”
A General Transmuted Family of Distributions (2018, background): “The quadratic transmuted class has been further studied and extended by Aryal and Tsokos (2009, 2011); Nofal et al. (2017); Alizadeh et al. (2016); Merovci et al. (2016) and Yousof et al. (2015).”
The Transmuted Odd Fréchet-G Family of Distributions: Theory and Applications (2020, background): “For notable studies in this regard, we refer the reader to the transmuted exponentiated generalized-G by [12], new transmuted-G family by [13], generalized transmuted-G family by [14], transmuted Weibull-G family by [15], transmuted odd Lindley-G family by [16], generalized transmuted-G family by [1”