Skew-normal distribution - Open Access .click

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On Some Properties of the Unified Skew Normal Distribution

Journal of Statistical Theory and Practice, 2013
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Gupta, Arjun K., Aziz, Mohammad A., Ning, Wei +2 more
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Adaptive control charts for skew‐normal distribution

Quality and Reliability Engineering International, 2018
AbstractThe standard Shewhart‐type chart, named FSS‐ chart, has been widely used to detect the mean shift of process by implementing fixed sample and sampling frequency schemes. The FSS‐ chart could be sensitive to the normality assumption and is inefficient to catch small or moderate shifts in the process mean.
Jyun-You Chiang, Tzong-Ru Tsai, Nan-Cheng Su +2 more
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The Skew-normal Distribution and Related Multivariate Families*

Scandinavian Journal of Statistics, 2005
If \(f_0\) is a \(d\)-dimensional density with \(f_0(x)=f_0(-x)\), \(G\) is a one-dimensional CDF with symmetric about 0 PDF and \(w: R^d\to R\) is any function with \(w(-x)=-w(x)\), then \(f(z)=2f_0(z)G(w(z))\) is a density function on \(R^d\). With \(f_0\sim N(0,\Omega)\), \(G\sim N(0,1)\), and a linear function \(w\) one obtains \(f\) being a skew ...
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Harris skewed normal distribution