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A second Marshall inequality in convex estimation

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Date
2008
Link to item file
http://hal.archives-ouvertes.fr/hal-00363236/en/
Dewey
Probabilités et mathématiques appliquées
Sujet
cubic polynomial; Marshall inequality; Convex functions
Journal issue
Statistics & Probability Letters
Volume
78
Number
2
Publication date
02-2008
Article pages
118-126
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/j.spl.2007.05.009
URI
https://basepub.dauphine.fr/handle/123456789/3461
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Rufibach, Kaspar
Balabdaoui, Fadoua
Type
Article accepté pour publication ou publié
Abstract (EN)
We prove a second Marshall inequality for adaptive convex density estimation via least squares. The result completes the first inequality proved recently by Dümbgen et al. [2007. Marshall's lemma for convex density estimation. IMS Lecture Notes—Monograph Series, submitted for publication. Preprint available at (http://arxiv.org/abs/math.ST/0609277), and is very similar to the original Marshall inequality in monotone estimation.

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