Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/39692 
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dc.contributor.authorWied, Dominiken
dc.contributor.authorWeißbach, Rafaelen
dc.date.accessioned2010-09-07T12:04:07Z-
dc.date.available2010-09-07T12:04:07Z-
dc.date.issued2010-
dc.identifier.citation|aStatistical Papers|c0932-5026|v53|h1|nSpringer|lBerlin, Heidelberg|y2010|p1-21en
dc.identifier.piurn:nbn:de:101:1-201607293734-
dc.identifier.pihdl:2003/26095-
dc.identifier.urihttp://hdl.handle.net/10419/39692-
dc.description.abstractVarious consistency proofs for the kernel density estimator have been developed over the last few decades. Important milestones are the pointwise consistency and almost sure uniform convergence with a fixed bandwidth on the one hand and the rate of convergence with a fixed or even a variable bandwidth on the other hand. While considering global properties of the empirical distribution functions is sufficient for strong consistency, proofs of exact convergence rates use deeper information about the underlying empirical processes. A unifying character, however, is that earlier and more recent proofs use bounds on the probability that a sum of random variables deviates from its mean.en
dc.description.otherAccepted Manuscript Version of: Technical Report No. 2009,03, Sonderforschungsbereich 475, Komplexitätsreduktion in Multivariaten Datenstrukturen, Universität Dortmunden
dc.language.isoengen
dc.publisher|aSpringer |cBerlin, Heidelbergen
dc.subject.ddc519en
dc.subject.keywordKernel estimationen
dc.subject.keywordPointwise consistencyen
dc.subject.keywordStrong uniform consistencyen
dc.subject.keywordEmpirical processen
dc.subject.keywordRate of convergenceen
dc.subject.keywordVariable bandwidthen
dc.titleConsistency of the kernel density estimator - a survey-
dc.typeArticleen
dc.identifier.ppn660907577en
dc.rightshttp://www.econstor.eu/dspace/Nutzungsbedingungenen
dc.identifier.repecRePEc:zbw:espost:39692en
dc.date.issuedonline2010-
dc.identifier.publishedversiondoidoi:10.1007/s00362-010-0338-1-
dc.publisher.online|aZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften, Leibniz-Informationszentrum Wirtschaft |cKiel, Hamburgen
econstor.documentversionAccepted Manuscript (Postprint)-
econstor.citation.journaltitleStatistical Papersen
econstor.citation.issn0932-5026en
econstor.citation.volume53en
econstor.citation.issue1en
econstor.citation.publisherSpringeren
econstor.citation.publisherplaceBerlin, Heidelbergen
econstor.citation.year2010en
econstor.citation.startpage1en
econstor.citation.endpage21en

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