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On the rate of convergence of the maximum likelihood estimator of a k -monotone density

On the rate of convergence of the maximum likelihood estimator of a k -monotone density Abstract Bounds for the bracketing entropy of the classes of bounded k-monotone functions on [0, A] are obtained under both the Hellinger distance and the L p(Q) distance, where 1 ⩽ p < ∞ and Q is a probability measure on [0,A]. The result is then applied to obtain the rate of convergence of the maximum likelihood estimator of a k-monotone density. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Science China Mathematics" Springer Journals

On the rate of convergence of the maximum likelihood estimator of a k -monotone density

"Science China Mathematics" , Volume 52 (7): 14 – Jul 1, 2009

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References (19)

Publisher
Springer Journals
Copyright
2009 Science in China Press and Springer-Verlag GmbH
ISSN
1674-7283
eISSN
1862-2763
DOI
10.1007/s11425-009-0102-y
Publisher site
See Article on Publisher Site

Abstract

Abstract Bounds for the bracketing entropy of the classes of bounded k-monotone functions on [0, A] are obtained under both the Hellinger distance and the L p(Q) distance, where 1 ⩽ p < ∞ and Q is a probability measure on [0,A]. The result is then applied to obtain the rate of convergence of the maximum likelihood estimator of a k-monotone density.

Journal

"Science China Mathematics"Springer Journals

Published: Jul 1, 2009

Keywords: Applications of Mathematics

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