@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-00915365v1> a dcat:Dataset ;
    dct:description """
              Let $\\mu_N$ be the empirical measure associated to a $N$-sample of a given probability distribution $\\mu$ on $\\mathbb{R}^d$. We are interested in the rate of convergence of $\\mu_N$ to $\\mu$, when measured in the Wasserstein distance of order $p>0$. We provide some satisfying non-asymptotic $L^p$-bounds and concentration inequalities, for any values of $p>0$ and $d\\geq 1$. We extend also the non asymptotic $L^p$-bounds to stationary $\\rho$-mixing sequences, Markov chains, and to some interacting particle systems.
            """ ;
    dct:identifier "hal-00915365" ;
    dct:issued "2026-05-07T22:06:08.192474"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-07T22:06:08.192478"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "On the rate of convergence in Wasserstein distance of the empirical measure" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00915365v1/resource/1ee0915d-3563-47e7-8c35-ba485dbb3718> ;
    dcat:keyword "60f25-60f10-65c05-60e15-65d32",
        "concentration-inequalities",
        "empirical-measure",
        "infoeu-reposemanticsarticle",
        "journal-articles",
        "markov-chains",
        "mathmath-prmathematics-mathprobability-mathpr",
        "mathmath-stmathematics-mathstatistics-mathst",
        "quantization",
        "sequence-of-iid-random-variables",
        "statthstatistics-statstatistics-theory-statth",
        "wasserstein-distance" ;
    dcat:landingPage <ISSN:%200178-8051> .

<ISSN:%200178-8051> a foaf:Document .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00915365v1/resource/1ee0915d-3563-47e7-8c35-ba485dbb3718> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-07T22:06:08.194322"^^xsd:dateTime ;
    dct:modified "2026-05-07T22:06:08.177886"^^xsd:dateTime ;
    dct:title "On the rate of convergence in Wasserstein distance of the empirical measure" ;
    dcat:accessURL <https://hal.science/hal-00915365> .

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