A novel rank-based estimator of the quantile dependence function with local acceptance regions allows visualization of dependence structure and supports a finite-sample valid independence test that performs well in power across many alternatives.
Since d(n)/√n → 0, by the assumption, (A.4) along with (A.6) imply the consistency under C
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Detecting dependence structure: visualization and inference
A novel rank-based estimator of the quantile dependence function with local acceptance regions allows visualization of dependence structure and supports a finite-sample valid independence test that performs well in power across many alternatives.