An appropriate empirical version of skew-normal density

被引:0
|
作者
A. Abtahi
M. Towhidi
J. Behboodian
机构
[1] Shiraz University,Department of Statistics
[2] Shiraz Islamic Azad University,Department of Mathematics
来源
Statistical Papers | 2011年 / 52卷
关键词
Skewed-distribution; Skew-normal; Beta-normal density; Inverse scale factors density; Kernel estimation; Kolmogorov–Smirnov statistic;
D O I
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中图分类号
学科分类号
摘要
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.
引用
收藏
页码:469 / 489
页数:20
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