Dümbgen, Lutz; Rufibach, Kaspar; Wellner, Jon (2007). Marshall's Lemma for Convex Density Estimation. In: Cator, Eric A.; Jongbloed, Geurt; Kraaikamp, Cor; Lopuhaä, Hendrik P.; Wellner, Jon A. (eds.) Asymptotics: Particles, Processes and Inverse Problems: Festschrift for Piet Groeneboom. Lecture Notes - Monograph Series: Vol. 55 (pp. 101-107). Beachwood, Ohio, USA: Institute of Mathematical Statistics
Full text not available from this repository.Marshall's (1970) lemma is an analytical result which implies root-n-consistency of the distribution function corresponding to the Grenander (1956) estimator of a non-decreasing probability density. The present paper derives analogous results for the setting of convex densities on [0,\infty).
Item Type: |
Book Section (Book Chapter) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematical Statistics and Actuarial Science |
UniBE Contributor: |
Dümbgen, Lutz, Rufibach, Kaspar |
Series: |
Lecture Notes - Monograph Series |
Publisher: |
Institute of Mathematical Statistics |
Language: |
English |
Submitter: |
Lutz Dümbgen |
Date Deposited: |
04 Oct 2013 14:57 |
Last Modified: |
05 Dec 2022 14:17 |
URI: |
https://boris.unibe.ch/id/eprint/24385 (FactScience: 49607) |
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