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Some properties of skew-symmetric distributions [PDF]
The family of skew-symmetric distributions is a wide set of probability density functions obtained by combining in a suitable form a few components which are selectable quite freely provided some simple requirements are satisfied. Intense recent work has produced several results for specific sub-families of this construction, but much less is known in ...
Adelchi Azzalini, Giuliana Regoli
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Some skew symmetric inverse reflected distributions
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M Masoom Ali +2 more
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Statistical Modeling of Financial Data with Skew-Symmetric Error Distributions
Based on corporate financial data for almost all companies listed on the Prime Market of the Tokyo Stock Exchange in fiscal year 2021, we gradually refine a model to explain firms’ sales by the number of employees and total assets. Starting from a Cobb–Douglas-type functional form linearized by a log transformation, the assumption of a skew-symmetric ...
Yoshinori Kawasaki +2 more
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Extreme Value Distributions for the Skew-Symmetric Family of Distributions
Communications in Statistics - Theory and Methods, 2007We derive the extreme value distribution of the skew-symmetric family, the probability density function of the latter being defined as twice the product of a symmetric density and a skewing function. We show that, under certain conditions on the skewing function, this extreme value distribution is the same as that for the symmetric density.
Marc G. Genton, Sheng-Mao Chang
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A new class of skew-symmetric distributions and related families
In this work, we investigate a new class of skew-symmetric distributions, which includes the distributions with the probability density function (pdf) given by g α(x)=2f(x) G(α x), introduced by Azzalini [A class of distributions which includes the normal ones, Scand. J. Statist. 12 (1985), pp. 171–178].
Osvaldo Venegas
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A family of skew-symmetric-Laplace distributions
Statistical Papers, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohamad Hossein Alamatsaz
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A proposed mechanism for skewing symmetric distributions
Communications in Statistics - Theory and Methods, 2019In this paper, we introduce a new distribution that allows us to skew any symmetric distribution which will be referred to as the deflation-inflation distribution (DID).
Moh'd T. Alodat, Mohammad Al-Rawwash
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Truncated-exponential skew-symmetric distributions
Statistics, 2013The family of skew distributions introduced by Azzalini and extended by others has received widespread attention. However, it suffers from complicated inference procedures. In this paper, a new family of skew distributions that overcomes the difficulties is introduced. This new family belongs to the exponential family.
Saralees Nadarajah +2 more
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Modality and Limiting Behaviours of Skew Symmetric Distributions
Sankhya AzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thomas Hitchen, Saralees Nadarajah
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Bimodal skew-symmetric normal distribution
Communications in Statistics - Theory and Methods, 2015ABSTRACTWe introduce a new parsimonious bimodal distribution, referred to as the bimodal skew-symmetric Normal (BSSN) distribution, which is potentially effective in capturing bimodality, excess kurtosis, and skewness. Explicit expressions for the moment-generating function, mean, variance, skewness, and excess kurtosis were derived.
M.Y. Hassan, M.Y. El-Bassiouni
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