A cut-point-invariant circular Chatterjee correlation is defined via averaging in circular rank space; it equals zero under independence and one under measurable functional dependence for non-atomic circular marginals.
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Extends the Chatterjee-Spearman max-type test to symmetric form with derived null distribution, proves asymptotic independence from Kendall's tau and quadrant correlation, and explores multivariate cases with simulation evidence of improved power.
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A Circular Chatterjee's Correlation Coefficient
A cut-point-invariant circular Chatterjee correlation is defined via averaging in circular rank space; it equals zero under independence and one under measurable functional dependence for non-atomic circular marginals.
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On the extensions of the Chatterjee-Spearman test
Extends the Chatterjee-Spearman max-type test to symmetric form with derived null distribution, proves asymptotic independence from Kendall's tau and quadrant correlation, and explores multivariate cases with simulation evidence of improved power.