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A Bayesian interpretation of the multivariate skew-normal distribution
Statistics & Probability Letters, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
LISEO, Brunero, LOPERFIDO N.
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The Skew-Normal Distribution on the Simplex
Communications in Statistics - Theory and Methods, 2007Density functions on the simplex defined with respect to the Lebesgue measure can change from unimodality to multimodality with perturbation. This phenomenon is induced by the incompatibility of the Aitchison geometry and the Lebesgue measure. A Lebesgue-type measure, compatible with the algebraic geometric structure of the simplex, is used here to ...
Glòria Mateu-Figueras +1 more
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A doubly skewed normal distribution
Statistics, 2014We consider a distribution obtained by combining two well-known mechanisms for generating skewed distributions. In this manner we arrive at a flexible model which subsumes and extends several skew distributions which have been discussed in the literature.
Barry C. Arnold +2 more
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The Skew-normal Distribution and Related Multivariate Families*
Scandinavian Journal of Statistics, 2005If \(f_0\) is a \(d\)-dimensional density with \(f_0(x)=f_0(-x)\), \(G\) is a one-dimensional CDF with symmetric about 0 PDF and \(w: R^d\to R\) is any function with \(w(-x)=-w(x)\), then \(f(z)=2f_0(z)G(w(z))\) is a density function on \(R^d\). With \(f_0\sim N(0,\Omega)\), \(G\sim N(0,1)\), and a linear function \(w\) one obtains \(f\) being a skew ...
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Harris skewed normal distribution
Communications in Statistics - Theory and Methods, 2022Noriah Al-Kandari +2 more
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Directed Mutation by Means of the Skew-Normal Distribution
2006Directed mutation can improve the efficiency of processing many optimization problems. The directed mutation operator presented in this paper is based on the Skew-Normal Distribution. It is the first one that is not defined by case differentiation. Its expectation as well as its variance are convergent for all degrees of skewness and random number ...
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Skew-normal family of distributions
2006An introductory account of the skew-normal distribution in the univariate and in the multivariate ...
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Multivariate mixture modeling using skew-normal independent distributions
Computational Statistics and Data Analysis, 2012Celso Rômulo Barbosa Cabral +2 more
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