@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00690300v1> a dcat:Dataset ;
    dct:description """
              Let $f$ be a probability density and $C$ be an interval on which $f$ is bounded away from zero. By establishing the limiting distribution of the uniform error of the kernel estimates $f_n$ of $f$, Bickel and Rosenblatt (1973) provide confidence bands $B_n$ for $f$ on $C$ with asymptotic level $1-\\alpha\\in]0,1[$. Each of the confidence intervals whose union gives $B_n$ has an asymptotic level equal to one; pointwise moderate deviations principles allow to prove that all these intervals share the same logarithmic asymptotic level. Now, as soon as both pointwise and uniform moderate deviations principles for $f_n$ exist, they share the same asymptotics. Taking this observation as a starting point, we present a new approach for the construction of confidence bands for $f$, based on the use of moderate deviations principles. The advantages of this approach are the following: (i) it enables to construct confidence bands, which have the same width (or even a smaller width) as the confidence bands provided by Bickel and Rosenblatt (1973), but which have a better aymptotic level; (ii) any confidence band constructed in that way shares the same logarithmic asymptotic level as all the confidence intervals, which make up this confidence band; (iii) it allows to deal with all the dimensions in the same way; (iv) it enables to sort out the problem of providing confidence bands for $f$ on compact sets on which $f$ vanishes (or on all $\\bb R^d$), by introducing a truncating operation.
            """ ;
    dct:identifier "hal-00690300" ;
    dct:issued "2026-05-21T01:56:07.459665"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-21T01:56:07.459671"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Confidence bands for densities, logarithmic point of view" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00690300v1/resource/cdeedc05-6770-493c-99e8-4c5bed9b1239> ;
    dcat:keyword "infoeu-reposemanticspreprint",
        "preprints-working-papers-",
        "statthstatistics-statstatistics-theory-statth" ;
    dcat:landingPage <https://hal.science/hal-00690300> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00690300v1/resource/cdeedc05-6770-493c-99e8-4c5bed9b1239> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-21T01:56:07.463050"^^xsd:dateTime ;
    dct:modified "2026-05-21T01:56:07.451442"^^xsd:dateTime ;
    dct:title "Confidence bands for densities, logarithmic point of view" ;
    dcat:accessURL <https://hal.science/hal-00690300> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .

<https://hal.science/hal-00690300> a foaf:Document .