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,...

Täydet tiedot

Bibliografiset tiedot
Päätekijät: Cule, M, Samworth, R, Stewart, M
Aineistotyyppi: Journal article
Kieli:English
Julkaistu: Blackwell Publishing Ltd 2008

Samankaltaisia teoksia