Nonparametric inference for stochastic linear hypotheses: Application to high-dimensional data
随机线性假设的非参数推断及高维应用
The Mann–Whitney–Wilcoxon rank sum test is limited to comparison of two groups with univariate responses. In this paper, we introduce a class of stochastic linear hypotheses that addresses these limitations within a nonparametric setting. We formulate hypotheses for simultaneous comparisons of several, multivariate response groups, without modelling the response distributions. Inference is developed based on U‐statistics theory and an exchangeability assumption. The latter…