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Generalized Alpha Skew Normal Distribution
Statistica & Applicazioni, 2020This paper extends the work of Elal-Olivero (2010) on the alpha-skew normal distribution. The extension is a multivariate version of Elal-Olivero’s univariate case. Then we study the statistical properties of the new extension such as marginal and conditional distribution, closure under convolution with normal random variate. Furthermore, we illustrate
Alodat, Tareq +3 more
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Sampling distributions of skew normal populations associated with closed skew normal distributions
Random Operators and Stochastic Equations, 2019Abstract The sample mean and sample variance are commonly used statistics in our study. In this paper, distributions of the sample mean and sample variance from a skew normal population are derived under closed skew normal (CSN) settings.
Zhu, Xiaonan +3 more
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2004
The book reviews the state-of-the-art advances in skew-elliptical distributions and provides many new developments in a single volume, collecting theoretical results and applications previously scattered throughout the literature. The main goal of this research area is to develop flexible parametric classes of distributions beyond the classical normal ...
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The book reviews the state-of-the-art advances in skew-elliptical distributions and provides many new developments in a single volume, collecting theoretical results and applications previously scattered throughout the literature. The main goal of this research area is to develop flexible parametric classes of distributions beyond the classical normal ...
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Geometric Skew Normal Distribution
Sankhya B, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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2017
AbstractThis chapter considers the univariate skew-normal distribution, a generalization of the normal that includes the normal as a special case. The most natural parametrization is non-standard. This is because the Fisher information matrix is then singular at the true parameter value when the true model is the normal special case. The log-likelihood
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AbstractThis chapter considers the univariate skew-normal distribution, a generalization of the normal that includes the normal as a special case. The most natural parametrization is non-standard. This is because the Fisher information matrix is then singular at the true parameter value when the true model is the normal special case. The log-likelihood
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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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Characterization of the skew-normal distribution
Annals of the Institute of Statistical Mathematics, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gupta, Arjun K. +2 more
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