The Exponentiated Gamma Distribution with Application to Drought Data

By Saralees Nadarajah, Arjun K. Gupta. 2007

124 citations recorded by the source corpus.

Subfields: Global and Planetary Change, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/0b8e2aea3fac1d372887b5c55179f52f860c5b23

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In Global and Planetary Change

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Citations in the corpus

The generalized odd log-logistic family of distributions: properties, regression models and applications (2017, methodology): “The properties of the Exp-G distributions have been studied by many authors in recent years, see [12] for exponentiated Weibull, [13] for exponentiated Gumbel, Nadarajah and Gupta [14] for exponentiated gamma distributions.”
The Exponentiated Generalized-G Poisson Family of Distributions (2017, background): “…Kundu (1999) for exponentiated exponential, Nadarajah and Kotz (2006) for the exponentiated-type distributions, Nadarajah (2005) for exponentiated Gumbel, Shirke and Kakade (2006) for exponentiated log-normal and Nadarajah and Gupta (2007) for exponentiated gamma distributions (EGa), among others.”
The Exponentiated Generalized Class of Distributions (2021, background): “…for exponentiated Weibull, Gupta et al. (1998) for exponentiated Pareto, Gupta and Kundu (1999) for exponentiated exponential, Nadarajah (2005) for exponentiated Gumbel, Shirke and Kakade (2006) for exponentiated log-normal and Nadarajah and Gupta (2007) for exponentiated gamma distributions.”
General Results for the Transmuted Family of Distributions and New Models (2016, background): “[9] R. C. Gupta, P. L. Gupta, and R. D. Gupta, “Modeling failure time data by Lehman alternatives,” Communications in Statistics.”
The Odd Power Lindley Generator of Probability Distributions: Properties, Characterizations and Regression Modeling (2019, methodology): “The properties of Exp-G distributions have been studied by many authors in recent years, see Shirke and Kakade (2006) for exponentiated log-normal and Nadarajah and Gupta (2007) for exponentiated gamma distributions, among others.”
The Zografos–Balakrishnan-G Family of Distributions: Mathematical Properties and Applications (2015, background): “…for exponentiated Weibull, Gupta et al. (1998) for exponentiated Pareto, Gupta, and Kundu (1999) for exponentiated exponential, Nadarajah (2005) for exponentiated Gumbel, Kakde, and Shirke (2006) for exponentiated lognormal, and Nadarajah and Gupta (2007) for exponentiated gamma distributions.”
Generalized beta-generated distributions (2012, background): “Then, knowing the moments of a generalized beta distribution, we have E[F (X)] = B(a+ sc , b) B(a, b) , (37) E{[1− F (X)]} = B(a, b+ r) B(a, b) , (38) E{F (X)[1− F (X)]} = B(a+ sc , b+ r) B(a, b) .”
The Weibull Marshall–Olkin family: Regression model and application to censored data (2018, background): “See, for example, Mudholkar and Srivastava (1993) for exponentiated Weibull, Gupta and Kundu (1999) for exponentiated exponential, Nadarajah and Kotz (2006) for exponentiated-type distributions and Nadarajah and Gupta (2007) for exponentiated gamma distributions, among others.”
General results for the Kumaraswamy-G distribution (2012, background): “Eugene et al. [14] and Nadarajah and Kotz [11,15] defined the beta normal, beta Gumbel and beta exponencial distributions by taking G(x) as the cdf of the normal, Gumbel and exponential distributions.”
Odd-Burr generalized family of distributions with some applications (2017, background): “[15] for the exponentiated Pareto, Gupta and Kundu [16] for the exponentiated exponential, Nadarajah [17] for the exponentiated Gumbel and Nadarajah and Kotz [18] for the exponentiated gamma distributions.”
The Kumaraswamy modified Weibull distribution: theory and applications (2014, background): “[23] for exponentiated Pareto, Gupta and Kundu [18] for EE distribution and Nadarajah and Gupta [24] for exponentiated gamma distributions.”
A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications (2014, methodology): “Structural properties of some exp-G distributions were studied by Mudholkar et al. (1996), Gupta and Kundu (2001), Nadarajah and Kotz (2006), Nadarajah and Gupta (2007) and Nadarajah et al. (2013), among others.”
The gamma-Lomax distribution (2015, background): “Thus, several properties of the gamma-G distribution can be obtained by knowing those of the exp-G distribution, see, for example, Mudholkar et al. [11], Gupta and Kundu [6] and Nadarajah and Kotz, [12] among others.”