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A New Class of Skew-Normal Distributions
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.
Reinaldo B Arellano-Valle +2 more
exaly +9 more sources
Approximate skew normal distribution
We propose a new approximate skew normal distribution, it is easy to calculate, convenient, mathematically tractable and is in a closed form. It is particularly useful when the probability density function occurs in an expression to be used for further ...
Samir K. Ashour, Mahmood A. Abdel-hameed
doaj +4 more sources
A Generalization of the Skew-Normal Distribution: The Beta Skew-Normal [PDF]
21 pages, 3 figures and 1 ...
Valentina Mameli, Monica Musio
openalex +5 more sources
On the Unification of Families of Skew-normal Distributions
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
The Skew-Normal Distribution in SPC
Modeling real data sets, even when we have some potential (as)symmetric models for the underlying data distribution, is always a very difficult task due to some uncontrollable perturbation factors.
Fernanda Figueiredo , M. Ivette Gomes
doaj +3 more sources
An Extension of the Epsilon-Skew-Normal Distribution
This article is related with the probabilistic and statistical properties of an parametric extension of the so-called epsilon-skew-normal (ESN) distribution introduced by Mudholkar and Hutson (2000), which considers an additional shape parameter in order to increase the flexibility of the ESN distribution.
Reinaldo B. Arellano‐Valle +2 more
openalex +6 more sources
Statistical applications of the multivariate skew normal distribution
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
A new family of skewed slash distributions generated by the normal kernel
The present paper is a generalization of the recent paper by Nadaraja and Kotz (2003) (Skewed distributions generated by the normal kernel, “Statistics & Probability Letters’’, 65, pp. 269-277). The new family of univariate skewed slash distributions
Bindu Punathumparambath
doaj +2 more sources
The Kumaraswamy skew-normal distribution
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Valentina Mameli
exaly +4 more sources
Generalized Skew-Normal Negentropy and Its Application to Fish Condition Factor Time Series
The problem of measuring the disparity of a particular probability density function from a normal one has been addressed in several recent studies. The most used technique to deal with the problem has been exact expressions using information measures ...
Reinaldo B. Arellano-Valle +2 more
doaj +3 more sources

