The Exponentiated Generalized Class of Distributions

By Gauss Moutinho Cordeiro, Edwin M. M. Ortega, Daniel C. C. da Cunha. Journal of Data Science, 2021

336 citations recorded by the source corpus.

We propose a new method of adding two parameters to a contin- uous distribution that extends the idea rst introduced by Lehmann (1953) and studied by Nadarajah and Kotz (2006). This method leads to a new class of exponentiated generalized distributions that can be interpreted as a double construction of Lehmann alternatives. Some special models are dis- cussed. We derive some mathematical properties of this class including the ordinary moments, generating function, mean deviations and order statis- tics. Maximum likelihood estimation is investigated and four applications to real data are presented.

Subfields: Finance, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/44cd15b6f95cd7fabfaa731a17da44cef6439e86

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Citations in the corpus

Some parsimonious models for lifetimes and applications (2021, background): “[12] proposed a new class of distributions by adding two new shape parameters.”
A New Kumaraswamy Generalized Family of Distributions with Properties, Applications, and Bivariate Extension (2020, neutral): “[11] (exponentiated-generalized-G (EG-G)), Bourguignon et al.”
The Transmuted Topp-Leone G Family of Distributions: Theory, Characterizations and Applications (2021, methodology): “(x) = 1 2 n 1 + h 1 G (x) 2i o ; x > 0: (15)”
A new class of distribution having decreasing, increasing, and bathtub-shaped failure rate (2017, methodology): “…transmuted matrix (QRTM) is a new technique of generalization proposed by Shaw and Buckley (2007) (see Aryal and Tsokos, 2009 for more details), and Cordeiro et al. (2013) proposed a new class CONTACT S. K. Maurya sandeepmaurya.maurya@gmail.com Department of Statistics, Banaras Hindu University,…”
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 transmuted Weibull-G family of distributions (2017, neutral): “We compare TW-W with Kw-Weibull (Kw-W) (Cordiero et al., 2010), Beta-Weibull (BW) (Lee et al., 2007), Beta- Exponentiated Weibull (BEW)(Cordeiro et al., 2013), Kw-Exponential Weibull (Kw-EW)(Cordeiro et al., 2016) and Beta-Modi ed Weibull (BMW)(Silva et al., 2010) distributions.”
Generalized Transmuted Family of Distributions: Properties and Applications (2017, neutral): “[18], Transformed-Transformer (T-X) by Alzaatreh et al.”