Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14279/18537
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dc.contributor.authorYatracos, Yannis G.-
dc.date.accessioned2020-07-22T05:47:32Z-
dc.date.available2020-07-22T05:47:32Z-
dc.date.issued2019-07-30-
dc.identifier.citationStatistics, 2019, vol. 53, no. 6, pp. 1251-1268en_US
dc.identifier.issn10294910-
dc.identifier.urihttps://hdl.handle.net/20.500.14279/18537-
dc.description.abstractIn deconvolution in Rd, d≥1, with mixing density p(∈P) and kernel h, the mixture density fp(∈Fp) is estimated with MDE fpˆn, having upper L1-error rate, an, in probability or in risk; pˆn∈P. In one application, P consists of L1-separable densities in R with differences changing sign at most J times and h(x−y) Totally Positive. When h is known and p is q˜-smooth, vanishing outside a compact in Rd, plug-in upper bounds are provided for the L2-error rate of pˆn and its [s]-th mixed partial derivative pˆ(s)n, via ∥∥fpˆn−fp∥∥1, with rates (loga−1n)−N1 and aN2n, respectively, for h super-smooth and smooth; q˜∈R+,[s]≤q˜,d≥1, N1>0, N2>0. For an∼(logn)ζ⋅n−δ, the former rate is optimal for any δ>0 and the latter misses the optimal by the factor (logn)ξ when δ=.5; ζ>0,ξ>0. N1 and N2 appear in optimal rates and lower error and risk bounds in the deconvolution literature.en_US
dc.formatpdfen_US
dc.language.isoenen_US
dc.relation.ispartofStatisticsen_US
dc.rights© Taylor & Francisen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectDeconvolutionen_US
dc.subjectMinimum distance estimationen_US
dc.subjectPlug-in upper error/risk boundsen_US
dc.subjectTotally positive kernelsen_US
dc.subjectVapnik–Chervonenkis classesen_US
dc.titlePlug-in L2-upper error bounds in deconvolution, for a mixing density estimate in Rd and for its derivatives, via the L1-error for the mixtureen_US
dc.typeArticleen_US
dc.collaborationTsinghua Universityen_US
dc.collaborationCyprus University of Technologyen_US
dc.subject.categoryMathematicsen_US
dc.journalsSubscriptionen_US
dc.countryChinaen_US
dc.countryCyprusen_US
dc.subject.fieldNatural Sciencesen_US
dc.publicationPeer Revieweden_US
dc.identifier.doi10.1080/02331888.2019.1632313en_US
dc.identifier.scopus2-s2.0-85070264067-
dc.identifier.urlhttps://api.elsevier.com/content/abstract/scopus_id/85070264067-
dc.relation.issue6en_US
dc.relation.volume53en_US
cut.common.academicyear2019-2020en_US
dc.identifier.spage1251en_US
dc.identifier.epage1268en_US
item.fulltextNo Fulltext-
item.cerifentitytypePublications-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.openairetypearticle-
item.languageiso639-1en-
crisitem.journal.journalissn1029-4910-
crisitem.journal.publisherTaylor & Francis-
crisitem.author.deptDepartment of Communication and Internet Studies-
crisitem.author.facultyFaculty of Communication and Media Studies-
crisitem.author.parentorgFaculty of Communication and Media Studies-
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