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| 摘要: |
| 本文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, 由此可避免由显著性水平选取的不同而引发的争议. 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. |
| 关键词: 偏p-范分布 几何曲率 显著性水平 GPS数据 |
| DOI： |
| 分类号:O212.1 |
| 基金项目:湖北省自然科学基金--黄石联合资助项目(No.2022CFD042)、湖北师范大学"研究生创新科研"立项建设项目(No.2023Z079) |
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| The Geometric Curvature of the Skew-P-Norm Distribution and Its Application |
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Zhu xiao xue,Hu hong chang
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| Abstract: |
| Firstly, this paper introduces the skewness parameter λ to propose a skew-p-norm distribution based on the p-norm distribution. Secondly, the geometric curvature of the skew-p-norm distribution is derived, and the significance levels of the skew-p=1.4-norm distribution are calculated to avoid controversies arising from different significance levels. Finally, using these significance 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. |
| Key words: Skew-p-norm distribution Geometric curvature Significance levels GPS data |
