Limit Distribution for The Weighted Rank Correlation Coefficient, rw

A weighted rank correlation coefficient, inspired by Spearman’s rank correlation coefficient, has been proposed recently by Pinto da Costa & Soares [5]. Unlike Spearman’s coefficient, which treats all ranks equally, rW weights the distance between two ranks using a linear function of those ranks, giving more importance to top ranks than lower ones. In this work we prove that rW has a gaussian limit distribution, using the methodology employed in [7].

Abstract licence: CC BY

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