Global rates of convergence of the MLEs of log-concave and $s$-concave densities

Charles R. Doss, Jon A. Wellner

Type: Article

Publication Date: 2016-04-11

Citations: 70

DOI: https://doi.org/10.1214/15-aos1394

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The Annals of Statistics - View
PubMed Central - View
arXiv (Cornell University) - View - PDF
Project Euclid (Cornell University) - View - PDF
Europe PMC (PubMed Central) - View - PDF

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Action	Title	Year	Authors
+	Uniform Central Limit Theorems	1999	R. M. Dudley
+	A course on empirical processes	1984	R. M. Dudley
+	Kolmogorov Entropy for Classes of Convex Functions	2009	Dimiter Dryanov
+ PDF Chat	Rates of convergence for minimum contrast estimators	1993	Lucien Birgé Pascal Massart
+	?-Entropy of convex sets and functions	1977	E. M. Bronshteîn
+ PDF Chat	Theoretical properties of the log-concave maximum likelihood estimator of a multidimensional density	2010	Madeleine Cule Richard J. Samworth
+ PDF Chat	Probability Inequalities for Likelihood Ratios and Convergence Rates of Sieve MLES	1995	Wing Hung Wong Xiaotong Shen
+	Weak Convergence and Empirical Processes	1996	Aad van der Vaart Jon A. Wellner
+	Convex set functions ind-space	1975	Christer Borell
+ PDF Chat	Hellinger-Consistency of Certain Nonparametric Maximum Likelihood Estimators	1993	Sara van de Geer