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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/72523

    Title: Laws of Large Numbers for Tight Random Elements in Normed Linear Spaces
    Authors: Taylor, R. L.;Wei, Duan
    Contributors: 淡江大學財務金融學系
    Keywords: Law of large numbers;Mathematical moments;Random variables;Banach space;Separable spaces;Topological theorems;Mathematics;Perceptron convergence procedure;Mathematical theorems;Coordinate systems
    Date: 1979-02
    Issue Date: 2011-10-24 10:31:54 (UTC+8)
    Publisher: Beachwood: Institute of Mathematical Statistics
    Abstract: 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.
    Relation: The Annals of Probability 7(1), pp.150-155
    Appears in Collections:[財務金融學系暨研究所] 期刊論文

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