Results 251 to 260 of about 6,790,612 (291)

A Generalization of the Skew-Normal Distribution: The Beta Skew-Normal [PDF]

open access: yesCommunications in Statistics - Theory and Methods, 2013
We consider a new generalization of the skew-normal distribution introduced by Azzalini (1985). We denote this distribution Beta skew-normal (BSN) since it is a special case of the Beta generated distribution (Jones (2004)). Some properties of the BSN
Valentina Mameli, Mónica Musio
exaly   +5 more sources

The Kumaraswamy skew-normal distribution [PDF]

open access: yesStatistics 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   +5 more sources

On the Unification of Families of Skew-normal Distributions

open access: yesScandinavian Journal of Statistics, 2006
Abstract.  The distribution theory literature connected to the multivariate skew‐normal distribution has grown rapidly in recent years, and a number of extensions and alternative formulations have been put forward. Presently there are various coexisting proposals, similar but not identical, and with rather unclear connections.
Reinaldo B. Arellano-Valle   +1 more
exaly   +7 more sources

A New Class of Skew-Normal Distributions

open access: yesCommunications in Statistics - Theory and Methods, 2004
We introduce a new family of asymmetric normal distributions that contains Azzalini's skew-normal (SN) distribution as a special case. We study the main properties of this new family, showing in particular that it may be generated via mixtures on the SN asymmetry parameter when the mixing distribution is normal.
Osvaldo Venegas   +2 more
exaly   +7 more sources

Statistical applications of the multivariate skew normal distribution

open access: yesJournal 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

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   +3 more
openaire   +3 more sources

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   +3 more
openaire   +1 more source

Geometric Skew Normal Distribution

Sankhya B, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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