The epsilon-skew-normal distribution for analyzing near-normal data

By Govind S. Mudholkar, Alan David Hutson. 2000

243 citations recorded by the source corpus.

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In Statistics and Probability

Citations in the corpus

Nonlinear Statistical Learning with Truncated Gaussian Graphical Models (2016, methodology): “The performances of the TGGM models are demonstrated on extensive benchmark datasets and compared to state-of-the-art competing results.”
Sinh-arcsinh distributions (2009, methodology): “National Physical Laboratory and first published by Smith and Naylor (1987). They have previously been modelled using three different four-parameter skew-i distributions by Jones & Faddy (2003), in the University of Padua technical report version of Azzalini & Capitanio (2003) and by Ma & Genton (20”
The Two-Piece Normal, Binormal, or Double Gaussian Distribution: Its Origin and Rediscoveries (2014, methodology): “An alternative parameterisation, with a single explicit skewness parameter, is given by Mudholkar and Hutson (2000), who do acknowledge Fechner’s priority.”
Asymmetry and Gradient Asymmetry Functions: Density‐Based Skewness and Kurtosis (2008, unknown): “The glass fibre data have recently been used to illustrate the fitting of various skew t distributions (Jones & Faddy, 2003; Ferreira & Steel, 2006).”
ReAct: Out-of-distribution Detection With Rectified Activations (2021, background): “Since xi|μi is symmetric and μi is positivelyskewed, the marginal distribution of xi is also positively-skewed2, which we model with the epsilonskew-normal (ESN) distribution [35].”
Birnbaum‐Saunders distribution: A review of models, analysis, and applications (2018, background): “Mudholkar and Hutson [194] introduced the epsilon skew-normal distribution defined on the entire real line as follows.”
A unified view on skewed distributions arising from selections (2006, background): “In turn, theε-skew-normal pdf considered in Mudholkar & Hutson (2000) follows whena(ε) = 1 − ε and b(ε) = 1 + ε, with |ε| 1.”
On Families of Distributions with Shape Parameters (2015, unknown): “Other prominent references include Fern´andez & Steel (1998), Mudholkar & Hutson (2000) and Arellano-Valle, G´omez & Quintana (2005).”