The beta exponential distribution

By Saralees Nadarajah, Samuel Kotz. Reliability Engineering & System Safety, 2006

514 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/f9f4a3aa13b6002af5c56c6f59915af6b3562cab

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Citations in the corpus

Generalized Transmuted Family of Distributions: Properties and Applications (2017, methodology): “(6.1) Expressions for moments of several exp-G distributions are given by Nadarajah and Kotz [45], which can be used to obtained E(Xn).”
Exponentiated $T$-$X$ Family of Distributions with Some Applications (2013, background): “…beta Fréchet distribution by Nadarajah and Gupta (2004), the beta-Weibull distribution by Famoye et al. (2005), the beta exponential distribution by Nadarajah and Kotz (2006), the beta-gamma distribution by Kong et al. (2007), the beta-Pareto distribution by Akinsete et al. (2008), the beta…”
The Kumaraswamy-Log-Logistic Distribution (2012, background): “f(y) = a b σ exp [ a (y − μ σ )][ 1 + exp (y − μ σ )]−(a+1){ 1− [ 1− 1 1 + exp( σ ) ]a}b−1 , (20)”
General results for the Kumaraswamy-G distribution (2012, methodology): “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.”
The beta log-logistic distribution (2014, background): “In particular, the reader is refereed to Nadarajah and Gupta (2004), Nadarajah and Kotz (2004, 2006), Lee et al. (2007), Akinsete et al. (2008), Silva et al. (2010), Barreto–Souza et al. (2010), Pescim et al. (2010), Paranaíba et al. (2011), Cordeiro et al. (2012, 2013, 2014), Cordeiro and Lemonte…”
THE BETA GENERALIZED PARETO DISTRIBUTION (2011, result): “Later, attempts- by Nadarajah and Gupta [11], Nadarajah and Kotz [10, 14], Kong et al.”
A new class of weighted exponential distributions (2009, background): “Interpretation 3 Recently Jones [6], see also Nadarajah and Kotz [7], obtained a class of distribution functions from a Beta(a, b) distribution as follows.”
The Kumaraswamy-Inverse Weibull Distribution (2012, background): “Some notable references include Nadarajah and Kotz (2004, 2005), Famoye, Lee and Olumolade (2005), Hanook, Shahbaz, Mohsin and Kibria (2012) and many others.”
Closed-form expressions for moments of a class of beta generalized distributions (2011, background): “Nadarajah and Kotz (2006) obtained the moment generating function, the first four cumulants and the asymptotic distribution of the extreme order statistics for the beta exponential distribution and examined maximum likelihood estimation of its parameters.”
The exponentiated discrete Weibull Distribution (2015, background): “Nekoukhou et al. (2013a) studied the discrete beta exponential (DBE) distribution and illustrated that the hazard rate function of this discrete analogue of the beta exponential distribution of Nadarajah and Kotz (2006) is monotone.”
A General Transmuted Family of Distributions (2018, background): “Several researchers have attempted to generalize exponential distribution for the limited applicability and they have proposed beta exponential (Nadarajah and Kotz, 2006), generalized exponential (Gupta and Kundu, 1999, 2007), exponentiated exponential (Gupta and Kundu, 2001) and quadratic…”
A new lifetime distribution (2014, methodology): “The three-parameter distributions are as follows: Marshall–Olkin Weibull (MOW) [23], exponentiated Weibull (EW) [24], exponentiated Fréchet (EF) [25], exponentiated Gumbel (EG) [25], beta exponential (BE) [26], Marshall–Olkin Lomax (MOL) [27] and GEP [12].”
The McDonald Weibull model (2014, background): “The beta exponential (BE) [23] distribution is also a sub-model for b = c = γ = 1.”
The Kumaraswamy Burr XII distribution: theory and practice (2013, methodology): “Many models were proposed in the literature to extend the Weibull distribution such as the exponentiated Weibull [10,11], additive Weibull [12], extended Weibull [13], modified Weibull [14], beta exponential [15], beta Weibull (BW) [16], extended flexible Weibull [17], generalized modified Weibull [”
On families of beta- and generalized gamma-generated distributions and associated inference (2009, methodology): “Based on the results of Nadarajah and Kotz [5], θ̂AME coincideswith themaximum likelihood estimator and the classic moment estimator of θ .”