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    請使用永久網址來引用或連結此文件: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/20585

    題名: Criteria for the Unique Determination of Probability Distributions by Moments
    作者: Pakes, Anthony G.;Hung, Wen-liang;Wu, Jong-wuu
    貢獻者: 淡江大學統計學系
    關鍵詞: Carleman and Krein conditions;moment problem
    日期: 2001-03
    上傳時間: 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
    顯示於類別:[統計學系暨研究所] 期刊論文


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