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Balabdaoui, F; Rufibach, K (2008). A second Marshall inequality in convex estimation. Statistics and Probability Letters, 78(2):118-126.
We prove a second Marshall inequality for adaptive convex density estimation via least squares. The result completes the
first inequality proved recently by Du¨ mbgen et al. [2007. Marshall’s lemma for convex density estimation. IMS Lecture
Notes—Monograph Series, submitted for publication. Preprint available at hhttp://arxiv.org/abs/math.ST/0609277i], and
is very similar to the original Marshall inequality in monotone estimation.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 04 Faculty of Medicine > Epidemiology, Biostatistics and Prevention Institute (EBPI) |
| Dewey Decimal Classification: | 610 Medicine & health |
| Scopus Subject Areas: | Physical Sciences > Statistics and Probability
Social Sciences & Humanities > Statistics, Probability and Uncertainty |
| Language: | English |
| Date: | 2008 |
| Deposited On: | 13 Oct 2008 09:12 |
| Last Modified: | 02 Jan 2025 04:40 |
| Publisher: | Elsevier |
| ISSN: | 0167-7152 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1016/j.spl.2007.05.009 |
Balabdaoui, F