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dc.contributor.authorGyörfi, László
dc.contributor.authorWalk, Harro
dc.date.accessioned2015-05-18T12:00:01Z
dc.date.accessioned2016-10-05T14:14:23Z
dc.date.available2015-05-18T12:00:01Z
dc.date.available2016-10-05T14:14:23Z
dc.date.issued2012
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1211
dc.descriptionResearch in Pairs 2012en_US
dc.description.abstractConsider the regression problem with a response variable $Y$ and with a $d$-dimensional feature vector $X$. For the regression function $m(x) = \mathbb{E}\{Y|X = x\}$, this paper investigates methods for estimating the density of the residual $Y -m(X)$ from independent and identically distributed data. If the density is twice differentiable and has compact support then we bound the rate of convergence of the kernel density estimate. It turns out that for $d\leq3$ and for partitioning regression estimates, the regression estimation error has no influence in the rate of convergence of the density estimate.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2012,08
dc.subjectRegression residualen_US
dc.subjectKernel density estimationen_US
dc.subjectPartitioningen_US
dc.subjectKernel and nearest neighbor regression estimationen_US
dc.subjectRate of convergenceen_US
dc.titleRate of Convergence of the Density Estimation of Regression Residualen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2012-08
local.scientificprogramResearch in Pairs 2012
local.series.idOWP-2012-08
local.subject.msc62
dc.identifier.urnurn:nbn:de:101:1-201207047037
dc.identifier.ppn1651531633


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