Maximum likelihood estimation of a multidimensional log-concave density

Maximum likelihood estimation of a multidimensional log-concave density

Let X_1, ..., X_n be independent and identically distributed random vectors with a log-concave (Lebesgue) density f. We first prove that, with probability one, there exists a unique maximum likelihood estimator of f. The use of this estimator is attractive because, unlike kernel density estimation,...

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Bibliografiske detaljer
Main Authors:	Cule, M, Samworth, R, Stewart, M
Format:	Journal article
Sprog:	English
Udgivet:	Blackwell Publishing Ltd 2008

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