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.
Berry–esseen bounds for combinatorial central limit theorems and pattern occurrences, using zero and size biasing.Journal of Applied Probability, 42(3):661–683, 2005
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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.