@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#> .

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    dct:description """
              Let $\\{\\Gamma_t, \\, t\\ge 0\\}$ be the Gamma subordinator. Using a moment identification due to Bertoin-Yor (2002), we observe that for every $t > 0$ and $\\alpha\\in (0,1)$ the random variable $\\Gamma_t^{-\\alpha}$ is distributed as the exponential functional of some spectrally negative Lévy process. This entails that all size-biased samplings of Fréchet distributions are self-decomposable and that the extreme value distribution $F_\\xi$ is infinitely divisible if and only if $\\xi\\not\\in (0,1),$ solving problems raised by Steutel (1973) and Bondesson (1992). We also review different analytical and probabilistic interpretations of the infinite divisibility of $\\Gamma_t^{-\\alpha}$ for $t,\\alpha > 0.$
            """ ;
    dct:identifier "hal-00787816" ;
    dct:issued "2026-05-14T12:44:21.546816"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-14T12:44:21.546821"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "On the self-decomposability of the Fréchet distribution" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
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    dcat:keyword "60e07-60g51-60g70-62e10",
        "exponential-functional",
        "frechet-distribution",
        "gamma-subordinator",
        "infinite-divisibility",
        "infoeu-reposemanticspreprint",
        "mathmath-prmathematics-mathprobability-mathpr",
        "mathmath-stmathematics-mathstatistics-mathst",
        "preprints-working-papers-",
        "self-decomposability",
        "statthstatistics-statstatistics-theory-statth" ;
    dcat:landingPage <https://hal.science/hal-00787816> .

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    dct:format "HTML" ;
    dct:issued "2026-05-14T12:44:21.550399"^^xsd:dateTime ;
    dct:modified "2026-05-14T12:44:21.520410"^^xsd:dateTime ;
    dct:title "On the self-decomposability of the Fréchet distribution" ;
    dcat:accessURL <https://hal.science/hal-00787816> .

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