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On Ranking-based Tests of Independence
March 13, 2024, 4:44 a.m. | Myrto Limnios (UCPH), St\'ephan Cl\'emen\c{c}on (LTCI, IDS, S2A, IP Paris)
stat.ML updates on arXiv.org arxiv.org
Abstract: In this paper we develop a novel nonparametric framework to test the independence of two random variables $\mathbf{X}$ and $\mathbf{Y}$ with unknown respective marginals $H(dx)$ and $G(dy)$ and joint distribution $F(dx dy)$, based on {\it Receiver Operating Characteristic} (ROC) analysis and bipartite ranking. The rationale behind our approach relies on the fact that, the independence hypothesis $\mathcal{H}\_0$ is necessarily false as soon as the optimal scoring function related to the pair of distributions $(H\otimes G,\; …
abstract analysis arxiv distribution framework math.st novel paper random ranking roc stat.me stat.ml stat.th test tests type variables
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