SemOpenAlex |

SemOpenAlex

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4328122524> ?p ?o ?g. }

Showing items 1 to 75 of 75 with 100 items per page.

W4328122524 abstract "The aim of this paper is to recover the regression function with sup norm loss. We construct an asymptotically sharp estimator which converges with the spatially dependent rate r_{n, mu}(x) = P big(log n / (n mu(x)) big)^{s / (2s + 1)}, where $mu$ is the design density, $s$ the regression smoothness, $n$ the sample size and $P$ is a constant expressed in terms of a solution to a problem of optimal recovery as in Donoho (1994). We prove this result under the assumption that $mu$ is positive and continuous. This estimator combines kernel and local polynomial methods, where the kernel is given by optimal recovery, which allows to prove the result up to the constants for any $s > 0$. Moreover, the estimator does not depend on $mu$. We prove that $r_{n, mu}(x)$ is optimal in a sense which is stronger than the classical minimax lower bound. Then, an inhomogeneous confidence band is proposed. This band has a non constant length which depends on the local amount of data." @default.
W4328122524 created "2023-03-22" @default.
W4328122524 creator A5081026572 @default.
W4328122524 date "2005-09-27" @default.
W4328122524 modified "2023-09-25" @default.
W4328122524 title "Sharp estimation in sup norm with random design" @default.
W4328122524 doi "https://doi.org/10.48550/arxiv.math/0509634" @default.
W4328122524 hasPublicationYear "2005" @default.
W4328122524 type Work @default.
W4328122524 citedByCount "0" @default.
W4328122524 crossrefType "posted-content" @default.
W4328122524 hasAuthorship W4328122524A5081026572 @default.
W4328122524 hasBestOaLocation W43281225241 @default.
W4328122524 hasConcept C102634674 @default.
W4328122524 hasConcept C105795698 @default.
W4328122524 hasConcept C114614502 @default.
W4328122524 hasConcept C126255220 @default.
W4328122524 hasConcept C134306372 @default.
W4328122524 hasConcept C146324458 @default.
W4328122524 hasConcept C149728462 @default.
W4328122524 hasConcept C17744445 @default.
W4328122524 hasConcept C181789720 @default.
W4328122524 hasConcept C185429906 @default.
W4328122524 hasConcept C191795146 @default.
W4328122524 hasConcept C199360897 @default.
W4328122524 hasConcept C199539241 @default.
W4328122524 hasConcept C2777027219 @default.
W4328122524 hasConcept C28826006 @default.
W4328122524 hasConcept C33923547 @default.
W4328122524 hasConcept C41008148 @default.
W4328122524 hasConcept C71134354 @default.
W4328122524 hasConcept C74193536 @default.
W4328122524 hasConcept C77553402 @default.
W4328122524 hasConcept C90119067 @default.
W4328122524 hasConceptScore W4328122524C102634674 @default.
W4328122524 hasConceptScore W4328122524C105795698 @default.
W4328122524 hasConceptScore W4328122524C114614502 @default.
W4328122524 hasConceptScore W4328122524C126255220 @default.
W4328122524 hasConceptScore W4328122524C134306372 @default.
W4328122524 hasConceptScore W4328122524C146324458 @default.
W4328122524 hasConceptScore W4328122524C149728462 @default.
W4328122524 hasConceptScore W4328122524C17744445 @default.
W4328122524 hasConceptScore W4328122524C181789720 @default.
W4328122524 hasConceptScore W4328122524C185429906 @default.
W4328122524 hasConceptScore W4328122524C191795146 @default.
W4328122524 hasConceptScore W4328122524C199360897 @default.
W4328122524 hasConceptScore W4328122524C199539241 @default.
W4328122524 hasConceptScore W4328122524C2777027219 @default.
W4328122524 hasConceptScore W4328122524C28826006 @default.
W4328122524 hasConceptScore W4328122524C33923547 @default.
W4328122524 hasConceptScore W4328122524C41008148 @default.
W4328122524 hasConceptScore W4328122524C71134354 @default.
W4328122524 hasConceptScore W4328122524C74193536 @default.
W4328122524 hasConceptScore W4328122524C77553402 @default.
W4328122524 hasConceptScore W4328122524C90119067 @default.
W4328122524 hasLocation W43281225241 @default.
W4328122524 hasLocation W43281225242 @default.
W4328122524 hasLocation W43281225243 @default.
W4328122524 hasLocation W43281225244 @default.
W4328122524 hasLocation W43281225245 @default.
W4328122524 hasOpenAccess W4328122524 @default.
W4328122524 hasPrimaryLocation W43281225241 @default.
W4328122524 hasRelatedWork W1587450254 @default.
W4328122524 hasRelatedWork W1996337892 @default.
W4328122524 hasRelatedWork W2019903810 @default.
W4328122524 hasRelatedWork W2130917261 @default.
W4328122524 hasRelatedWork W2963182765 @default.
W4328122524 hasRelatedWork W3138935769 @default.
W4328122524 hasRelatedWork W4283009358 @default.
W4328122524 hasRelatedWork W4300992059 @default.
W4328122524 hasRelatedWork W4313296430 @default.
W4328122524 hasRelatedWork W1993910265 @default.
W4328122524 isParatext "false" @default.
W4328122524 isRetracted "false" @default.
W4328122524 workType "article" @default.