Spherical Regression
研究了球面上固定点与随机点之间的旋转关系，提出了未知旋转矩阵及其旋转轴的渐近检验和置信区域方法，适用于任意维度。
Suppose $u_1,\cdots,u_n$ are fixed points on the sphere, $v_1,\cdots,v_n$ are random points such that the distribution of $v_i$ depends only upon $v^t_iAu_i$ for some unknown rotation A. This paper provides asymptotic tests and confidence regions for A and for the axis of rotation of A. Results are given in arbitrary dimension.