@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-00991958v2> a dcat:Dataset ;
    dct:description """
              We show that all negative powers B_{a,b}^-{s} of the Beta distribution are infinitely divisible. The case b<1 follows by complete monotonicity, the case b > 1, s > 1 by hyperbolically complete monotonicity and the case b > 1, s < 1 by a Lévy perpetuity argument involving the hypergeometric series. We also observe that B_{a,b}^{-s} is self-decomposable whenever 2a + b + s + bs > 1, and that it is not always a generalized Gamma convolution. On the other hand, we prove that all negative powers of the Gamma distribution are generalized Gamma convolutions, answering to a recent question of L. Bondesson.
            """ ;
    dct:identifier "hal-00991958" ;
    dct:issued "2026-05-05T10:26:52.107786"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-05T10:26:52.107791"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "On the infinite divisibility of inverse Beta distributions" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00991958v2/resource/61df2c80-f6ec-4086-92f6-f99395dbce88> ;
    dcat:keyword "60e07-60g51-62e10",
        "beta-distribution",
        "gamma-distribution",
        "generalized-gamma-convolution",
        "hyperbolically-complete-monotonicity",
        "hypergeometric-series",
        "infoeu-reposemanticspreprint",
        "levy-perpetuity",
        "mathmath-prmathematics-mathprobability-mathpr",
        "preprints-working-papers-",
        "self-decomposability",
        "stieltjes-transform" ;
    dcat:landingPage <https://hal.science/hal-00991958> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00991958v2/resource/61df2c80-f6ec-4086-92f6-f99395dbce88> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-05T10:26:52.116109"^^xsd:dateTime ;
    dct:modified "2026-05-05T10:26:52.095237"^^xsd:dateTime ;
    dct:title "On the infinite divisibility of inverse Beta distributions" ;
    dcat:accessURL <https://hal.science/hal-00991958> .

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

<https://hal.science/hal-00991958> a foaf:Document .