The additive logistic skew-normal distribution on the simplex

被引:8
|
作者
Mateu-Figueras, G [1 ]
Pawlowsky-Glahn, V [1 ]
Barceló-Vidal, C [1 ]
机构
[1] Univ Girona, Dept Informat & Matemat Aplicada, Girona 17071, Spain
关键词
simplex; additive logistic normal distribution; skew-normal distribution;
D O I
10.1007/s00477-004-0225-1
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
There is a dearth of suitable models with which to adequately model cornpositional data sets, especially those which exhibit skewness after additive logratio-transformation. In order to address this deficit we propose the additive logistic skew-normal distribution. an extension to the additive logistic normal model oil the simplex derived from the skew-normal distribution in real space. The purpose of this paper is to Outline the potential of this distribution in the modelling of cornpositional data. We present its most important properties and use an example to exhibit the potential of this distribution.
引用
收藏
页码:205 / 214
页数:10
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