中文

Wilcoxon-Mann-Whitney检验:无群体歧视假设

计算机视觉与模式识别 2025-11-26 v1

摘要

传统Wilcoxon-Mann-Whitney(WMW)原假设H0:F=GH_0: F = G范围过于宽泛。实际上,WMW检验的是更窄的H0:AUC=0.5H_0: AUC = 0.5。推导了标准化UU统计量(即经验AUC)在正确H0H_0下的渐近分布,并给出有限样本偏差校正。传统的随机主导性备择假设范围过小。WMW在H1:AUC0.5H_1: AUC \neq 0.5下一致,Van Dantzig于1951年已证明。

关键词

引用

@article{arxiv.2511.20306,
  title  = {TaCo: Capturing Spatio-Temporal Semantic Consistency in Remote Sensing Change Detection},
  author = {Han Guo and Chenyang Liu and Haotian Zhang and Bowen Chen and Zhengxia Zou and Zhenwei Shi},
  journal= {arXiv preprint arXiv:2511.20306},
  year   = {2025}
}