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 this line is in fact the linear regression, the second part of Proposition 1 is proven
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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.