Exponentiated $T$-$X$ Family of Distributions with Some Applications

By Ahmad Alzaghal, Felix Famoye, Carl Lee. 2013

202 citations recorded by the source corpus.

In this paper, a new family of distributions called exponentiated $T$-$X$ distribution is defined. Some of its properties and special cases are discussed. A member of the family, namely, the three-parameter exponentiated Weibull-exponential distribution is defined and studied. Some of its properties including distribution shapes, limit behavior, hazard function, Shannon entropy, moments, skewness and kurtosis are discussed. The flexibility of the exponentiated Weibull-exponential distribution is assessed by applying it to three real data sets and comparing it with other distributions. The exponentiated Weibull-exponential distribution is found to adequately fit left-skewed and right-skewed data sets.

Subfields: Global and Planetary Change, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/1deb634aa8b6dbbcd5bf22c4207331c2ae33a33a

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In Global and Planetary Change

In Statistics and Probability

Citations in the corpus

The Burr XII System of densities: properties, regression model and applications (2018, unknown): “[6], Lomax generator by Cordeiro et al.”
The Kumaraswamy Marshal-Olkin family of distributions (2015, background): “[12], odd exponentiated generalized (odd exp-G) by Cordeiro et al.”
Odd-Burr generalized family of distributions with some applications (2017, methodology): “Based in the transformer (T-X) generator,[5] we propose a new wider class of continuous distributions called the Odd Burr-G (‘OBu-G’) family by integrating the Burr density function having cdf given by”
The exponentiated transmuted-G family of distributions: Theory and applications (2017, background): “…et al. (2012), exponentiated generalized-G by Cordeiro et al. (2013), Transformed-Transformer (T-X) by Alzaatreh et al. (2013), exponentiated (T-X) by Alzaghal et al. (2013), Weibull-G by Bourguignon et al. (2014), exponentiated half logistic generated family by Cordeiro et al. (2014),…”
The logistic-X family of distributions and its applications (2016, unknown): “The well-known families are: the betaG (Eugene et al., 2002; Jones, 2004), Kumaraswamy-G (Kw-G; Cordeiro and de Castro, 2011), McDonald-G (Mc-G; Alexander et al., 2012), gamma-X (Alzaatreh et al., 2014), gamma-G (type 1) (Zografos and Balakrishnan, 2009), gamma-G (type 2) (Ristić and Balakrishnan, ”
Recent Developments in Distribution Theory: A Brief Survey and Some New Generalized Classes of distributions (2019, unknown): “− (0, ∞) Gamma-G Type-3 (Torabi and Montazeri, 2012) ( )log 1 ;F x − − (0, ∞) Exponentiated T-X (Alzaghal et al., 2013) ( ) ( ) ; log 1 ; F x F x”