Efficient Fully Distribution-Free Center-Outward Rank Tests for Multiple-Output Regression and MANOVA
多响应回归与多元方差分析的有效完全分布无关中心向外秩检验
Extending rank-based inference to a multivariate setting such as multiple-output regression or MANOVA with unspecified d-dimensional error density has remained an open problem for more than half a century. None of the many solutions proposed so far is enjoying the combination of distribution-freeness and efficiency that makes rank-based inference a successful tool in the univariate setting. A concept of center-outward multivariate ranks and signs based on measure…