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Risk measures for skew normal mixtures [PDF]

Statistics and Probability Letters, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mauro Bernardi
exaly   +2 more sources

The Kumaraswamy skew-normal distribution [PDF]

Statistics and Probability Letters, 2015
We propose a new generalization of the skew-normal distribution (Azzalini, 1985) referred to as the Kumaraswamy skew-normal. The new distribution is computationally more tractable than the Beta skew-normal distribution (Mameli and Musio, 2013) with which
Valentina Mameli
exaly   +2 more sources

Statistical applications of the multivariate skew normal distribution

Journal of the Royal Statistical Society Series B: Statistical Methodology, 1999
Summary Azzalini and Dalla Valle have recently discussed the multivariate skew normal distribution which extends the class of normal distributions by the addition of a shape parameter. The first part of the present paper examines further probabilistic properties of the distribution, with special emphasis on aspects of statistical ...
Adelchi Azzalini
exaly   +4 more sources

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The Balakrishnan skew–normal density

Statistical Papers, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sharafi, M., Behboodian, J.
openaire   +2 more sources

Graphical models for skew‐normal variates

Scandinavian Journal of Statistics, 2003
This paper explores the usefulness of the multivariate skew‐normal distribution in the context of graphical models. A slight extension of the family recently discussed byAzzalini & Dalla Valle (1996) andAzzalini & Capitanio (1999) is described, the main motivation being the additional property of closure under conditioning. After considerations
Capitanio A., Azzalini A., STANGHELLINI, Elena   +2 more
openaire   +4 more sources

Generalized Alpha Skew Normal Distribution

Statistica & Applicazioni, 2020
This 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, Khan, Shahjahan, Alodat, Moh'd T., Memon, Muhammed A.   +3 more
openaire   +3 more sources

Skew-normal Mixture of Experts

2016 International Joint Conference on Neural Networks (IJCNN), 2016
Mixture of Experts (MoE) is a popular framework for modeling heterogeneity in data for regression, classification and clustering. For continuous data, MoE usually uses normal experts, that is, expert components following the Gaussian distribution. However, for a set of data containing a group or groups of observations with asymmetric distribution, the ...
openaire   +2 more sources

The Skew-Normal and Related Families

2013
Interest in the skew-normal and related families of distributions has grown enormously over recent years, as theory has advanced, challenges of data have grown, and computational tools have made substantial progress. This comprehensive treatment, blending theory and practice, will be the standard resource for statisticians and applied researchers ...
Azzalini Adelchi, CAPITANIO, ANTONELLA
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Geometric Skew Normal Distribution

Sankhya B, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Sampling distributions of skew normal populations associated with closed skew normal distributions

Random Operators and Stochastic Equations, 2019
Abstract 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, Li, Baokun, Wang, Tonghui, Gupta, Arjun K.   +3 more
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