Pivotal Bootstrap Methods for k -Sample Problems in Directional Statistics and Shape Analysis
方向统计与形状分析中多样本问题的枢轴自助法
We propose a novel bootstrap hypothesis testing approach for the problem of testing a null hypothesis of a common mean direction, mean polar axis, or mean shape across several populations of real unit vectors (the directional case) or complex unit vectors (the two-dimensional shape case). Multisample testing problems of this type arise frequently in directional statistics and shape analysis (as in other areas of statistics), but to date there has been relatively little…