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Classical retrieval and overlap measures satisfy the requirements for rankings based on a Lorenz curve
Authors:Leo Egghe  Ronald Rousseau
Institution:1. LUC, Universitaire Campus, B-3590 Diepenbeek, Belgium;2. UA, IBW, Universiteitsplein 1, B-2610 Wilrijk, Belgium;3. KHBO, IWT, Zeedijk 101, B-8400 Oostende, Belgium
Abstract:Classical information retrieval and overlap measures such as the Jaccard index, the Dice coefficient and Salton’s cosine measure can be characterized by Lorenz curves. This result demonstrates the existence of a formal link between information retrieval and the information sciences on the one hand, and concentration and diversity theory, as used, e.g., in social economics and ecology on the other.
Keywords:Information retrieval  Overlap studies  Presence&ndash  absence data  Jaccard coefficient  Salton&rsquo  s cosine measure  Dice coefficient  Lorenz curves  Gini index
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