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    题名: Criteria for the Unique Determination of Probability Distributions by Moments
    作者: Pakes, Anthony G.;Hung, Wen-liang;Wu, Jong-wuu
    贡献者: 淡江大學統計學系
    关键词: Carleman and Krein conditions;moment problem
    日期: 2001-03
    上传时间: 2009-11-30 12:52:45 (UTC+8)
    出版者: Wiley-Blackwell
    摘要: 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.
    關聯: Australian & New Zealand Journal of Statistics 43(1), pp.101-111
    显示于类别:[統計學系暨研究所] 期刊論文


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