The modality of skew t-distribution

被引:0
作者
Bader Alruwaili
机构
[1] Jouf University,Mathematics Department, College of Science
来源
Statistical Papers | 2023年 / 64卷
关键词
Mode localization; Finite mixture; Skew ; -distribution; Mixture of skew ; -Distribution;
D O I
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中图分类号
学科分类号
摘要
The aims of this paper are to study the modality of skew t-distribution and the mixture of skew t-distributions graphically and analytically. We introduced a new formula to find the modes for univariate skew t-distribution and the mixture of univariate skew t-distribution. We also explored the effect of the skewness parameters and the degrees of freedom on the number and locations of modes for univariate skew t-distribution and in the mixture of skew t-distribution. Exploring the modes for the mixture of skew t-distribution helps the research to discover when and which components of the mixture can be merged in one homogeneous group to get the best results when exploring the data set.
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页码:497 / 507
页数:10
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