Skew-elliptical distributions and their applications : a journey beyond normality

By Marc G. Genton. 2004

333 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/14ccf082b8a47ea80a20ab2db474ecc64b06ceeb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Statistics and Probability

Citations in the corpus

Automated high-dimensional flow cytometric data analysis (2009, methodology): “To enable unsupervised learning of non-Gaussian populations, our multivariate skew t modeling methods use theoretically well-studied high-dimensional distributions (13) that are robust against outliers and skew.”
Invariant co‐ordinate selection (2009, methodology): “…a proper model for the data at hand among the many multivariate models that are available in the literature: (mixtures of) elliptical models, the independent component (IC) models of Section 5.2 (see also Nordhausen et al. (2009b)), skew elliptical models (see, for example, Genton (2004)), etc.”
Skew mixture models for loss distributions: a Bayesian approach (2012, background): “For a complete and up to date overview of Skew Normal distributions and their applications, see the book edited by Genton (2004).”
On spatial skew‐Gaussian processes and applications (2009, background): “Genton (2004) describes inferences about many of the models, one of which is the skew-normal distributions.”
A Heckman Selection-t Model (2012, background): “…note that the distribution of Y ∗|U ∗ > 0, arising from hidden truncation when Y ∗ and U ∗ are jointly normal and the marginal distribution of U ∗ is standard normal, belongs to the family of skew-normal distributions (Azzalini 1985, 2005; Genton 2004), which is a special case of (8) with τ = 0.”
Shannon Entropy and Mutual Information for Multivariate Skew‐Elliptical Distributions (2013, methodology): “Specifically, we consider the multivariate elliptical and skew-elliptical families of distributions; see the books by Fang et al. (1990) and Genton (2004), respectively.”
On the Unification of Families of Skew‐normal Distributions (2006, background): “For reviews of the research work produced in this area, see Arnold & Beaver (2002), Genton (2004) and Azzalini (2005).”
Multivariate log‐skew‐elliptical distributions with applications to precipitation data (2009, background): “Genton (2004) summarizes various approaches for defining skew-elliptical distributions.”
A unified view on skewed distributions arising from selections (2006, methodology): “…skew-symmetric and skew-elliptical distributions and their successful application to problems in areas such as engineering, environmetrics, economics, and the biomedical sciences; see the book edited by Genton (2004a) for a first and unique synthesis of results and applications in this topic.”