Generalized exponential distribution: Existing results and some recent developments

By Rameshwar D. Gupta, Debasis Kundu. 2007

348 citations recorded by the source corpus.

Subfields: Safety, Risk, Reliability and Quality, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/f8fc745b7885f711e24d35edbd7aad6f3a08ee7e

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Citations in the corpus

Likelihood estimation for a general class of inverse exponentiated distributions based on complete and progressively censored data (2014, background): “This family of distributions includes the exponentiated exponential distribution 3 4 , exponentiated Rayleigh distribution 5 6 , and exponentiated Pareto distribution 7 .”
Univariate Distribution Relationships (2008, background): “15– 63); the generalized beta distribution (McDonald 1984); the generalized exponential distribution (Gupta and Kundu 2007); the generalized F distribution (Prentice 1975); Johnson curves (Johnson, Kotz, and Balakrishnan 1994, pp.”
Exponentiated Transmuted Generalized Raleigh Distribution: A New Four Parameter Rayleigh Distribution (2015, methodology): “Vol.XI No.1 2015 pp115-134 128 ℓ = 𝑛(ln 2 + ln 𝛼 + ln 𝛿 + 2 ln 𝛽) + ∑ ln 𝑥𝑖 − ∑ (𝛽𝑥𝑖) 2𝑛 𝑖=1 𝑛 𝑖=1 + (𝛼𝛿 − 1) ∑ ln{1 − 𝑛 𝑖=1 exp[−(𝛽𝑥𝑖) 2]} + ∑ ln{1 + 𝜆 − 2𝜆(1 − exp[−(𝛽𝑥𝑖) 2])𝛼} + (𝛿 − 1) ∑ ln{1 + 𝜆 −𝑛𝑖=1 𝑛 𝑖=1 𝜆(1 − exp[−(𝛽𝑥𝑖) 2])𝛼} (13) Equation (13) can be ma”
The Weibull-Exponential Distribution: Its Properties and Applications (2015, methodology): “Attempts to increase the flexibility 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 distri”
Bayesian inference and life testing plans for generalized exponential distribution (2009, background): “Using the idea of Gupta and Kundu [7] and Kundu [9], we propose Criterion 2, which is independent of p. Criterion 2: C2(R) = Edata {∫ 1 0 Vposterior(R)(lnTp)dW (p) } .”
Estimating the Parameters of the Generalized Exponential Distribution in Presence of Hybrid Censoring (2009, background): “See, for example, the review article by Gupta and Kundu (2007) on recent development of the GE distribution.”
Discrete generalized exponential distribution of a second type (2013, methodology): “We will obtain this new distribution by discretizing the generalized exponential distribution of Gupta and Kundu 3–6 .”
On progressively censored generalized exponential distribution (2009, background): “For some recent developments of the GE distribution, the readers may look at the review article by Gupta and Kundu (2007).”
Validation of the Odd Lindley Exponentiated Exponential by a ModiÃ–ed Goodness of Fit Test with Applications to Censored and Complete Data (2019, neutral): “For more detail about the EE model and its properties see Gupta and Kundu (2001), Gupta and Kundu (2007) and Nadarajah (2011).”
A New Class of Generalized Power Lindley Distribution with Applications to Lifetime Data (2016, background): “Gupta and Kundu [8] provided a review and recent developments on the exponentiated exponential distribution.”
A New Extension of Generalized Exponential Distribution with Application to Ozone Data (2017, methodology): “B βðpþ 1Þ;1 t=λ½ ; 0 < t < λ: ½17 It is noteworthy to mention that Gupta and Kundu (2007) obtained the first four moments of the EEðα; λÞ: For example, EðYÞ ¼ 1λ ½ψðαþ 1Þ ψð1Þ and EðY2Þ ¼ 1 λ2 ½ψ0ð1Þ ψ0ðαþ 1Þ þ ðψðαþ 1Þ ψð1ÞÞ2 .”