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    题名: Laws of Large Numbers for Tight Random Elements in Normed Linear Spaces
    作者: Taylor, R. L.;Wei, Duan
    贡献者: 淡江大學財務金融學系
    关键词: Law of large numbers;Mathematical moments;Random variables;Banach space;Separable spaces;Topological theorems;Mathematics;Perceptron convergence procedure;Mathematical theorems;Coordinate systems
    日期: 1979-02
    上传时间: 2011-10-24 10:31:54 (UTC+8)
    出版者: Beachwood: Institute of Mathematical Statistics
    摘要: A strong law of large numbers is proved for tight, independent random elements (in a separable normed linear space) which have uniformly bounded pth moments (p>1). In addition, a weak law of large numbers is obtained for tight random elements with uniformly bounded pth moments (p>1) where convergence in probability for the separable normed linear space holds if and only if convergence in probability for the weak linear topology holds.
    關聯: The Annals of Probability 7(1), pp.150-155
    显示于类别:[財務金融學系暨研究所] 期刊論文

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