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Density estimation using game theory

Ignacio García-Jurado (), Luciano Méndez-Naya and César Sánchez-Sellero

Mathematical Methods of Operations Research, 2004, vol. 59, issue 3, 349-357

Abstract: In this note we show that the mathematical tools of cooperative game theory allow a successful approach to the statistical problem of estimating a density function. Specifically, any random sample of an absolutely continuous random variable determines a transferable utility game, the Shapley value of which proves to be an estimator of the density function of binned kernel and WARPing types, with good computational and statistical properties. Copyright Springer-Verlag 2004

Keywords: Cooperative games; Density estimation; Shapley value (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/s001860400349

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