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- W2267188906 abstract "We study bracketing numbers for spaces of bounded convex functions in the $L_p$ norms. We impose no Lipschitz constraint. Previous results gave bounds when the domain of the functions is a hyperrectangle. We extend these results to the case wherein the domain is a polytope. Bracketing numbers are crucial quantities for understanding asymptotic behavior for many statistical nonparametric estimators. Our results are of interest in particular in many multidimensional estimation problems based on convexity shape constraints." @default.
- W2267188906 created "2016-06-24" @default.
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- W2267188906 date "2015-05-29" @default.
- W2267188906 modified "2023-09-27" @default.
- W2267188906 title "Bracketing Numbers of Convex Functions on Polytopes." @default.
- W2267188906 hasPublicationYear "2015" @default.
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