An appropriate empirical version of skew-normal density |
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Authors: | A Abtahi M Towhidi J Behboodian |
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Institution: | 1.Department of Statistics,Shiraz University,Shiraz,Iran;2.Department of Mathematics,Shiraz Islamic Azad University,Shiraz,Iran |
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Abstract: | In this paper, we consider a constructive representation of skewed distributions, which proposed by Ferreira and Steel (J
Am Stat Assoc 101:823–829, 2006), and its basic properties is presented. We study the five versions of skew- normal distributions
in this general setting. An appropriate empirical model for a skewed distribution is introduced. In data analysis, we compare
this empirical model with the other four versions of skew-normal distributions, via some reasonable criteria. It is shown
that the proposed empirical model has a better fit for density estimation. |
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Keywords: | |
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