Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.14279/18537
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yatracos, Yannis G. | - |
dc.date.accessioned | 2020-07-22T05:47:32Z | - |
dc.date.available | 2020-07-22T05:47:32Z | - |
dc.date.issued | 2019-07-30 | - |
dc.identifier.citation | Statistics, 2019, vol. 53, no. 6, pp. 1251-1268 | en_US |
dc.identifier.issn | 10294910 | - |
dc.identifier.uri | https://hdl.handle.net/20.500.14279/18537 | - |
dc.description.abstract | In 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.format | en_US | |
dc.language.iso | en | en_US |
dc.relation.ispartof | Statistics | en_US |
dc.rights | © Taylor & Francis | en_US |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
dc.subject | Deconvolution | en_US |
dc.subject | Minimum distance estimation | en_US |
dc.subject | Plug-in upper error/risk bounds | en_US |
dc.subject | Totally positive kernels | en_US |
dc.subject | Vapnik–Chervonenkis classes | en_US |
dc.title | Plug-in L2-upper error bounds in deconvolution, for a mixing density estimate in Rd and for its derivatives, via the L1-error for the mixture | en_US |
dc.type | Article | en_US |
dc.collaboration | Tsinghua University | en_US |
dc.collaboration | Cyprus University of Technology | en_US |
dc.subject.category | Mathematics | en_US |
dc.journals | Subscription | en_US |
dc.country | China | en_US |
dc.country | Cyprus | en_US |
dc.subject.field | Natural Sciences | en_US |
dc.publication | Peer Reviewed | en_US |
dc.identifier.doi | 10.1080/02331888.2019.1632313 | en_US |
dc.identifier.scopus | 2-s2.0-85070264067 | - |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/85070264067 | - |
dc.relation.issue | 6 | en_US |
dc.relation.volume | 53 | en_US |
cut.common.academicyear | 2019-2020 | en_US |
dc.identifier.spage | 1251 | en_US |
dc.identifier.epage | 1268 | en_US |
item.fulltext | No Fulltext | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | none | - |
item.openairecristype | http://purl.org/coar/resource_type/c_6501 | - |
item.openairetype | article | - |
item.languageiso639-1 | en | - |
crisitem.journal.journalissn | 1029-4910 | - |
crisitem.journal.publisher | Taylor & Francis | - |
crisitem.author.dept | Department of Communication and Internet Studies | - |
crisitem.author.faculty | Faculty of Communication and Media Studies | - |
crisitem.author.parentorg | Faculty of Communication and Media Studies | - |
Appears in Collections: | Άρθρα/Articles |
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