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| 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. |
| 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(2022CFD042),湖北师范大学“研究生创新科研”立项建设项目(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: |
| In this paper, we investigate the geometric curvature of the skew-p-norm distribution 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 parameter λ. Then we derived the geometric curvature of the skew-p-norm distribution, and calculated the significance levels of the skew-p=1.4-norm distribution. 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 |
