偏p-范分布的几何曲率及其应用  

THE GEOMETRIC CURVATURE OF THE SKEW-P-NORM DISTRIBUTION AND ITS APPLICATION

作　　者：祝小雪 胡宏昌 ZHU Xiao-xue;HU Hong-chang(School of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China)

机构地区：[1]湖北师范大学数学与统计学院,湖北黄石435002

出　　处：《数学杂志》2024年第5期426-434,共9页Journal of Mathematics

基　　金：湖北省自然科学基金-黄石联合资助项目(2022CFD042);湖北师范大学“研究生创新科研”立项建设项目(2023Z079).

摘　　要：本文研究了偏p-范分布的几何曲率及其在假设检验过程中的应用.首先通过引入偏态参数λ,在p-范分布的基础上提出了偏p-范分布.接着推导了偏p-范分布的几何曲率并通过计.算得到了偏p=1.4-范分布的显著性水平值.最后利用这些显著性水平值分析加拿大ALGO测站的GPS数据,得到了该数据服从p=1.4的p-范分布..In this paper,we investigate the geometric curvature of the skew-p-norm distri-bution and its application in the hypothesis testing process.Firstly,we propose a skew-p-norm distribution based on the p-norm distribution by introducing the skewness parameterλ.Then we derived the geometric curvature of the skew-p-norm distribution,and calculated the signi cance levels of the skew-p=1.4-norm distribution.Finally,using these signi cance levels to analyze the GPS data of the Canadian ALGO station,it is shown that the data are sampled from the p-norm distribution of p=1:4.

关 键 词：偏p-范分布 几何曲率 显著性水平 GPS数据. 

分 类 号：O212.1[理学—概率论与数理统计]