On the Metricity of the Chatterjee Correlation Coefficient

IF 2.1 4区数学 Q1 STATISTICS & PROBABILITY

American Statistician Pub Date : 2025-10-10 DOI:10.1080/00031305.2025.2571183

Flavio Chierichetti, Mirko Giacchini, Ravi Kumar

引用次数: 0

Abstract

We show that the distance measure implied by the recently proposed Chatterjee coefficient of correlation can violate the triangle inequality, both in theory and in practice.

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论查特吉相关系数的度量性

我们证明了最近提出的Chatterjee相关系数所隐含的距离度量在理论和实践上都违反三角不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

American Statistician 数学-统计学与概率论

CiteScore

3.50

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： Are you looking for general-interest articles about current national and international statistical problems and programs; interesting and fun articles of a general nature about statistics and its applications; or the teaching of statistics? Then you are looking for The American Statistician (TAS), published quarterly by the American Statistical Association. TAS contains timely articles organized into the following sections: Statistical Practice, General, Teacher''s Corner, History Corner, Interdisciplinary, Statistical Computing and Graphics, Reviews of Books and Teaching Materials, and Letters to the Editor.