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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/20585

    Title: Criteria for the Unique Determination of Probability Distributions by Moments
    Authors: Pakes, Anthony G.;Hung, Wen-liang;Wu, Jong-wuu
    Contributors: 淡江大學統計學系
    Keywords: Carleman and Krein conditions;moment problem
    Date: 2001-03
    Issue Date: 2009-11-30 12:52:45 (UTC+8)
    Publisher: Wiley-Blackwell
    Abstract: A positive probability law has a density function of the general form Q(x) exp(−x1/λL(x)),
    where Q is subject to growth restrictions, and L is slowly varying at infinity. This law
    is determined by its moment sequence when λ < 2, and not determined when λ > 2. It
    is still determined when λ = 2 and L(x) does not tend to zero too quickly. This paper
    explores the consequences for the induced power and doubled laws, and for mixtures. The
    proofs couple the Carleman and Krein criteria with elementary comparison arguments.
    Relation: Australian & New Zealand Journal of Statistics 43(1), pp.101-111
    Appears in Collections:[Graduate Institute & Department of Statistics] Journal Article

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