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

A Skewed Sinh-Normal Distribution and Its Properties and Application to Air Pollution
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DOI:
10.1080/03610920903140171
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发表时间:
2010-01-01
影响因子:
0.8
通讯作者:
Sanhueza, Antonio
Sanhueza, Antonio
中科院分区:
数学4区
文献类型:
--
作者:
Leiva, Victor;Vilca, Filidor;Sanhueza, Antonio

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在本文中,我们介绍了sinh-正态分布的一个偏斜版本,并讨论了它的一些性质。此外,我们从概率的角度描述了与该分布相关的Birnbaum-Saunders模型的扩展,以及基于其风险率的寿命分析。最后,将其中一个模型应用于空气污染数据,以说明其有效性。
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.