EXPONENTIATED EXPONENTIAL FAMILY: AN ALTERNATIVE TO GAMMA AND WEIBULL DISTRIBUTIONS

By Rameshwar D. Gupta, Debasis Kundu. 2001

848 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/17697817e5405de495158033800cf37c21541d87

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In Statistics and Probability

Citations in the corpus

The logistic-X family of distributions and its applications (2016, methodology): “Some structural properties of the exp-G distributions are studied by Mudholkar and Srivastava (1993), Mudholkar et al. (1995), Gupta et al. (1998), Gupta and Kundu (2001), and Nadarajah and Kotz (2006), among others.”
The Exponentiated Generalized Class of Distributions (2021, background): “…recently such as the exponentiated exponential, exponentiated Weibull, exponentiated gamma, exponentiated Fréchet and exponentiated Gumbel distributions (see, for example, Mudholkar and Srivastava, 1993; Gupta et al., 1998; Gupta and Kundu, 2001; Nadarajah and Kotz, 2006), among several others.”
Estimating the Parameters of the Generalized Exponential Distribution in Presence of Hybrid Censoring (2009, methodology): “It has been observed by Gupta and Kundu (2001) that the two-parameter GE distribution can be used quite effectively to analyze this data set.”
Generalized beta-generated distributions (2012, background): “…et al., 1995; Mudholkar et al., 1996; Nassar and Eissa, 2003; Nadarajah and Gupta, 2005; and Choudhury, 2005) and exponentiated exponential (EE) (Gupta and Kundu, 2001) distributions for b = c = 1 and b = c = λ = 1, respectively; and the beta exponential (BE) (Nadarajah and Kotz, 2006)…”
The Weibull-Exponential Distribution: Its Properties and Applications (2015, background): “…of the exponential distribution gave rise to the beta exponential distribution (Nadarajah and Kotz, 2006), exponentiated exponential distribution (Gupta and Kundu, 2001), Generalized exponential distribution (Gupta and Kundu, 2007), Kumaraswamy exponential distribution (Cordeiro and Castro,…”
Closeness of Gamma and Generalized Exponential Distribution (2003, methodology): “The L-moments of any distribution are analogous to the conventional moments but they are based on quantiles and they can be estimated by the linear combinations of order statistics, i.e., by L-statistics.”
Estimation of P(Y < X) for the Three-Parameter Generalized Exponential Distribution (2008, methodology): “In Gupta and Kundu (2001a), they compared it to the two-parameter Gamma and Weibull distribution and in Gupta and Kundu (2001b) they discussed different methods of estimation.”
Generalized exponential distribution: Existing results and some recent developments (2007, methodology): “It is observed by the authors [10] that the two-parameter generalized exponential distribution can be used quite effectively to analyze positive lifetime data, particularly, in place of the two-parameter gamma or two-parameter Weibull distributions.”
The Heavy-Tailed Exponential Distribution: Risk Measures, Estimation, and Application to Actuarial Data (2020, methodology): “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”
Alpha power transformed extended exponential distribution: properties and applications (2018, background): “1 [9] R. D. Gupta, D. Kundu, Generalized exponential distributions, Aust.”
THE BETA GENERALIZED PARETO DISTRIBUTION (2011, background): “[6] R. D. Gupta and D. Kundu, Exponentiated exponential family: An alternative to gamma and Weibull distributions, Australian New Zealand Journal of Statistics 41 (2001), 173-188.”