<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-01817789</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-03T03:15:52+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Multidimensional strong large deviation results</title>
            <author role="aut">
              <persName>
                <forename type="first">Cyrille</forename>
                <surname>Joutard</surname>
              </persName>
              <email type="md5">138db6dbb7eef9a64163c1e5966cfc1f</email>
              <email type="domain">umontpellier.fr</email>
              <idno type="idhal" notation="string">cyrille-joutard</idno>
              <idno type="idhal" notation="numeric">746330</idno>
              <idno type="halauthorid" notation="string">40621-746330</idno>
              <affiliation ref="#struct-424479"/>
              <affiliation ref="#struct-42812"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Cyrille</forename>
                <surname>Joutard</surname>
              </persName>
              <email type="md5">138db6dbb7eef9a64163c1e5966cfc1f</email>
              <email type="domain">umontpellier.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2018-06-18 13:31:55</date>
              <date type="whenModified">2025-01-08 15:28:03</date>
              <date type="whenReleased">2018-06-18 13:31:55</date>
              <date type="whenProduced">2017-11</date>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="181782">
                <persName>
                  <forename>Cyrille</forename>
                  <surname>Joutard</surname>
                </persName>
                <email type="md5">138db6dbb7eef9a64163c1e5966cfc1f</email>
                <email type="domain">umontpellier.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-01817789</idno>
            <idno type="halUri">https://hal.science/hal-01817789</idno>
            <idno type="halBibtex">joutard:hal-01817789</idno>
            <idno type="halRefHtml">&lt;i&gt;Metrika&lt;/i&gt;, 2017, 80 (6-8), pp.663 - 683. &lt;a target="_blank" href="https://dx.doi.org/10.1007/s00184-017-0621-4"&gt;&amp;#x27E8;10.1007/s00184-017-0621-4&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Metrika, 2017, 80 (6-8), pp.663 - 683. &amp;#x27E8;10.1007/s00184-017-0621-4&amp;#x27E9;</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-MONTP3">Université de Montpellier Paul-Valéry</idno>
            <idno type="stamp" n="I3M_UMR5149">Institut de Mathématiques et de Modélisation de Montpellier</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="IMAG-MONTPELLIER">Institut Montpelliérain Alexander Grothendieck</idno>
            <idno type="stamp" n="MIPS">Mathématiques, Informatique, Physique et Systèmes</idno>
            <idno type="stamp" n="UNIV-MONTPELLIER">Université de Montpellier</idno>
            <idno type="stamp" n="UM-2015-2021" corresp="UNIV-MONTPELLIER">Université de Montpellier (2015-2021)</idno>
            <idno type="stamp" n="AMIS">AMIS</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Multidimensional strong large deviation results</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Cyrille</forename>
                    <surname>Joutard</surname>
                  </persName>
                  <email type="md5">138db6dbb7eef9a64163c1e5966cfc1f</email>
                  <email type="domain">umontpellier.fr</email>
                  <idno type="idhal" notation="string">cyrille-joutard</idno>
                  <idno type="idhal" notation="numeric">746330</idno>
                  <idno type="halauthorid" notation="string">40621-746330</idno>
                  <affiliation ref="#struct-424479"/>
                  <affiliation ref="#struct-42812"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">17065</idno>
                <idno type="issn">0026-1335</idno>
                <idno type="eissn">1435-926X</idno>
                <title level="j">Metrika</title>
                <imprint>
                  <publisher>Springer Verlag</publisher>
                  <biblScope unit="volume">80</biblScope>
                  <biblScope unit="issue">6-8</biblScope>
                  <biblScope unit="pp">663 - 683</biblScope>
                  <date type="datePub">2017-11</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1007/s00184-017-0621-4</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="stat.th">Statistics [stat]/Statistics Theory [stat.TH]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>We establish strong large deviation results for an arbitrary sequence of randomvectors under some assumptions on the normalized cumulant generating function.In other words, we give asymptotic approximations for a multivariate tail probabilityof the same kind as the one obtained by Bahadur and Rao (Ann Math Stat 31:1015–1027, 1960) for the sample mean (in the one-dimensional case).The proof of our resultsfollows the same lines as in Chaganty and Sethuraman (J Stat Plan Inference, 55:265–280, 1996). We also present three statistical applications to illustrate our results, thefirst one dealing with a vector of independent sample variances, the second one witha Gaussian multiple linear regression model and the third one with the multivariateNadaraya–Watson estimator. Some numerical results are also presented for the firsttwo applications.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-424479" status="OLD">
          <idno type="ISNI">0000000404890602</idno>
          <idno type="RNSR">200311827X</idno>
          <idno type="ROR">https://ror.org/044kxby82</idno>
          <orgName>Institut Montpelliérain Alexander Grothendieck</orgName>
          <orgName type="acronym">IMAG</orgName>
          <date type="start">2015-01-01</date>
          <date type="end">2021-12-31</date>
          <desc>
            <address>
              <addrLine>UMR CNRS 5149 - Université Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://imag.umontpellier.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-410122" type="direct"/>
            <relation name="UMR5149" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-42812" status="OLD">
          <idno type="IdRef">026404702</idno>
          <idno type="ISNI">000000012196152X</idno>
          <idno type="ROR">https://ror.org/00qhdy563</idno>
          <orgName>Université Paul-Valéry - Montpellier 3</orgName>
          <orgName type="acronym">UPVM</orgName>
          <date type="start">1970-11-18</date>
          <date type="end">2024-12-31</date>
          <desc>
            <address>
              <addrLine>Université Paul Valéry Montpellier 3Route de Mende 34199 Montpellier Cedex 5</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-montp3.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-410122" status="OLD">
          <idno type="ISNI">0000000120970141</idno>
          <idno type="ROR">https://ror.org/051escj72</idno>
          <orgName>Université de Montpellier</orgName>
          <orgName type="acronym">UM</orgName>
          <date type="end">2021-12-31</date>
          <desc>
            <address>
              <addrLine>163 rue Auguste Broussonnet - 34090 Montpellier</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.umontpellier.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>