BETA-NORMAL DISTRIBUTION AND ITS APPLICATIONS

By N. Eugene, Carl Lee, Felix Famoye. 2002

1,343 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/c6a8a47ab80c2b30f5567c5af8a79af352d2c44d

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Citations in the corpus

Odd-Burr generalized family of distributions with some applications (2017, background): “,[2] Kumaraswamy-G (Kw-G) by Cordeiro and de Castro,[3] McDonald-G (Mc-G) by Alexander et al.”
A new method for generating distributions with an application to exponential distribution (2017, positive): “Eugene et al. (2002) proposed the beta-generated method that uses the beta distribution with parameters α and β as the generator to develop the beta-generated distributions.”
The beta generalized exponential distribution (2008, background): “[7] defined the beta normal (BN) distribution by taking G(x) in Equation (2) to be the cdf of the normal distribution and derived some first moments.”
The beta Weibull-geometric distribution (2013, background): “[1] with the cdf F(x; a, b, θ) = IG(x;θ)(a, b) = 1 B(a, b) ∫ G(x;θ)”
A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications (2014, neutral): “Some well-known generators are the Marshall-Olkin generated family (MO-G) by Marshall and Olkin (1997), the beta-G by Eugene et al. (2002), the Kumaraswamy-G (Kw-G for short) by Cordeiro and de Castro (2011), the McDonald-G (Mc-G) by Alexander et al. (2012), the gamma-G by Zografos and…”
Type II Half Logistic Family of Distributions with Applications (2017, background): “(Eugene et al. 2002) studied the beta-family of distributions.”
The new class of Kummer beta generalized distributions: theory and applications (2013, methodology): “Eugene et al. (2002) proposed a general class of distributions based on the logit of a beta random variable by employing two parameters whose role is to introduce skewness and to vary tail weights.”
An extended Lomax distribution (2013, methodology): “We adopt a different approach to much of the literature so far: rather than considering the classical beta generator [3] or the Kumaraswamy generator [4] applied to a baseline distribution, we propose the use of a more flexible McDonald generator applied to the Lomax distribution.”
Exponentiated Generalized Inverse Weibull Distribution (2014, background): “We note that there is no complicated function in (1.1) in contrast with the beta generalized family (Eugene et al., 2002), which also includes two extra parameters but involves the beta incomplete function.”
The beta generalized gamma distribution (2013, background): “[14], Nadarajah and Kotz [17], Nadarajah and Gupta [18] and Nadarajah and Kotz [19] defined the beta normal, beta Gumbel, beta Fréchet and beta exponential distributions by taking G(x) to be the cdf of the normal, Gumbel, Fréchet and exponential distributions, respectively.”
The type II Topp-Leone generated family of distributions : Properties and applications (2018, background): “Eugene et al. (2002) studied the beta-generalized (beta-G) family of distributions.”
The Beta-Dagum Distribution: Definition and Properties (2013, background): “In particular, taking G x to be the df of the Normal distribution, Eugene et al. (2002) defined and studied the Beta-Normal distribution, highlighting its flexibility in modeling not only symmetric heavy-tailed distributions, but also skewed and bimodal ones (see also Razzaghi, 2008).”