The multivariate skew-slash distribution

By Jing Wang, Marc G. Genton. 2006

194 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/4c0b27169bd0422ffc1ced1966d6f1d1b03cba75

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In Statistics and Probability

Citations in the corpus

A unified view on skewed distributions arising from selections (2006, unknown): “Other particular skew-elliptical distributions include skew-Cauchy (Arnold & Beaver 2000b), skew-logistic (Wahed & Ali 2001), skew-exponential power (Azzalini 1986), and skew-slash (Wang & Genton 2006).”
An extension of the half-normal distribution (2012, background): “Wang and Genton (2006) developed a multivariate version and also an asymmetric multivariate version studying its properties and inference.”
Skew scale mixtures of normal distributions: Properties and estimation (2011, background): “…one can define skew-t distributions (Sahu, Dey and Branco, 2003), skew-Cauchy distributions (Arnold and Beaver, 2000), skew-slash distributions (Wang and Genton, 2006), skew-slash-t distributions (Tan and Peng, 2006), skew-elliptical distributions (Azzalini and Capitanio, 1999; Branco and Dey,…”
Robust linear mixed models with skew-normal independent distributions from a Bayesian perspective (2009, unknown): “Applications of the SSL distribution can be found in Wang and Genton (2006) .”
A new family of slash-distributions with elliptical contours (2007, background): “where X Elk(0; Ik; g) is assumed independent of U U(0; 1). We denote this as Y SElk( ; ; q; g). In ( 13 ) and in what follows 1=2 refers to the square root of , that is, the”
A nonparametric method for estimating asymmetric densities based on skewed Birnbaum–Saunders distributions applied to environmental data (2013, background): “Other classes are the skew-Cauchy, skew-elliptic, skew-normal, skew-slash, and skew-t distributions; see Azzalini and Capitanio (1999, 2003), Arnold and Beaver (2000), Wang and Genton (2006) and Gómez et al. (2007).”
An alternative multivariate skew Laplace distribution: properties and estimation (2010, methodology): “In our final example we will use the Australian athletes dataset analyzed by Azzalini and Dalla Valle (1996), Azzalini and Capitanio (2003), Genton (2004) and Wang and Genton (2006) .”
LIKELIHOOD BASED INFERENCE FOR SKEW-NORMAL INDEPENDENT LINEAR MIXED MODELS (2010, background): “Applications of the skew-slash distribution can be found in Wang and Genton (2006).”
Multivariate measurement error models based on scale mixtures of the skew–normal distribution (2010, methodology): “Applications of the SSL distribution can be found in Wang and Genton [17].”
Bridging asymptotic independence and dependence in spatial extremes using Gaussian scale mixtures (2016, background): “When R is Pareto distributed, the Gaussian scale mixture has multivariate slash densities available in closed form, albeit in terms of the incomplete gamma function (Wang and Genton, 2006).”
Robust mixture regression modeling based on scale mixtures of skew-normal distributions (2015, background): “Moreover, the class of SMSN distributions is a rich class that contains proper elements such as the skewt (Azzalini and Capitanio 2003), skew-slash (Wang and Genton 2006) and skewcontaminated normal distribution (Lachos et al.”