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arXiv · 1804.05420

A Weighted Generalization of the Graham-Diaconis Inequality for Ranked List Similarity

Ali Dasdan
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Abstract

The Graham-Diaconis inequality shows the equivalence between two well-known methods of measuring the similarity of two given ranked lists of items: Spearman's footrule and Kendall's tau. The original inequality assumes unweighted items in input lists. In this paper, we first define versions of these methods for weighted items. We then prove a generalization of the inequality for the weighted versions.

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Ali Dasdan. 2018-04-15. A Weighted Generalization of the Graham-Diaconis Inequality for Ranked List Similarity. https://arxiv.org/abs/1804.05420

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