A Skewed Sinh-Normal Distribution and Its Properties and Application to Air Pollution

被引：69
|
作者：
Leiva, Victor [1 ]
Vilca, Filidor [2 ]
Balakrishnan, N. [3 ]
Sanhueza, Antonio [4 ]
机构：
[1] Univ Valparaiso, Dept Estadist, CIMFAV, Valparaiso, Chile
[2] Univ Estadual Campinas, Dept Estatist, Sao Paulo, Brazil
[3] McMaster Univ, Dept Math & Stat, Hamilton, ON, Canada
[4] Univ La Frontera, Dept Matemat & Estadist, Temuco, Chile
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2010年 / 39卷 / 03期
基金：
巴西圣保罗研究基金会;
关键词：
Birnbaum-Saunders model; Logarithmic distributions; Skew distributions; BIRNBAUM-SAUNDERS DISTRIBUTION; INFLUENCE DIAGNOSTICS; FAMILY; MODELS;
D O I：
10.1080/03610920903140171
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this article, we introduce a skewed version of the sinh-normal distribution and discuss some of its properties. In addition, we characterize an extension of the Birnbaum-Saunders model associated with this distribution from a probabilistic viewpoint along with a lifetime analysis based on its hazard rate. Finally, one of the proposed models is applied to air pollution data in order to illustrate its usefulness.
引用
收藏
页码：426 / 443
页数：18
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