单位球面或超球面上随机变量的相关系数

Correlation Coefficients for Random Variables on a Unit Sphere or Hypersphere

Biometrika · 1986
被引 6
ABS 4

中文导读

提出一种衡量p维单位球面上两个随机变量关联程度的系数,详细研究了p=3时的样本估计,并与现有统计量比较,应用于岩石样本的剩磁分析。

Abstract

A coefficient to measure association between two random variables, each distributed on the surface of the unit sphere in p-dimensional space, is proposed, analogous to an existing correlation coefficient for circular data. The sample estimate is studied in detail for the case p = 3, and comparisons are made with other statistics in current use. Some applications are given to studying remanent magnetization in rock samples.

统计学几何相关性分析球面数据