@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-00822435v1> a dcat:Dataset ;
    dct:description """
              Let X₁,..,X_{n} denote an i.i.d. sample with light tail distribution and S₁ⁿ denote the sum of its terms; let a_{n} be a real sequence going to infinity with n. In a previous paper ([hal-00813262]) it is proved that as n→∞, given (S₁ⁿ/n>a_{n}) all terms X_{i_{ }} concentrate around a_{n} with probability going to 1. This paper explores the asymptotic distribution of X₁ under the conditioning events (S₁ⁿ/n=a_{n}) and (S₁ⁿ/n≥a_{n}) . It is proved that under some regulatity property, the asymptotic conditional distribution of X₁ given (S₁ⁿ/n=a_{n}) can be approximated in variation norm by the tilted distribution at point a_{n} , extending therefore the classical LDP case developed in Diaconis and Freedman (1988). Also under (S₁ⁿ/n≥a_{n}) the dominating point property holds. It also considers the case when the X_{i}'s are R^{d}-valued, f is a real valued function defined on R^{d} and the conditioning event writes (U₁ⁿ/n=a_{n}) or (U₁ⁿ/n≥a_{n}) with U₁ⁿ:=(f(X₁)+..+f(X_{n}))/n and f(X₁) has a light tail distribution. As a by-product some attention is paid to the estimation of high level sets of functions.
            """ ;
    dct:identifier "hal-00822435" ;
    dct:issued "2026-05-11T03:42:08.928044"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-11T03:42:08.928050"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Light tails: Gibbs conditional principle under extreme deviation" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00822435v1/resource/e03b0ef8-4b6b-4ed0-b5bb-46e912b39935> ;
    dcat:keyword "60f10",
        "extreme-deviation",
        "gibbs-conditional-principle",
        "infoeu-reposemanticspreprint",
        "large-deviation",
        "localization-principle",
        "mathmath-prmathematics-mathprobability-mathpr",
        "mathmath-stmathematics-mathstatistics-mathst",
        "preprints-working-papers-",
        "statthstatistics-statstatistics-theory-statth" ;
    dcat:landingPage <https://hal.science/hal-00822435> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00822435v1/resource/e03b0ef8-4b6b-4ed0-b5bb-46e912b39935> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-11T03:42:08.929608"^^xsd:dateTime ;
    dct:modified "2026-05-11T03:42:08.910808"^^xsd:dateTime ;
    dct:title "Light tails: Gibbs conditional principle under extreme deviation" ;
    dcat:accessURL <https://hal.science/hal-00822435> .

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

<https://hal.science/hal-00822435> a foaf:Document .