Chia Nan University of Pharmacy & Science Institutional Repository:Item 310902800/21997
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    CNU IR > Chna Nan Annual Bulletin > No.28 (2002) >  Item 310902800/21997
    Please use this identifier to cite or link to this item: http://ir.cnu.edu.tw/handle/310902800/21997


    Title: On Uniform Almost Sure Representation of the Empirical Distribution of Φ-Mixing Vectors
    Φ-混合隨機向量的經驗累積分配函數一致性之表現
    Authors: Sheng-Kai Yang
    Bih-Sheue Shieh
    Contributors: 化妝品應用與管理系
    資訊管理系
    Keywords: Φ-mixing
    ststionary
    almost sure representation
    weak dependent
    Φ-混合
    穩定
    幾乎處處表現
    弱相關
    Date: 2003
    Issue Date: 2010-03-24 16:45:17 (UTC+8)
    Abstract: Let {Xi:-∞<i<∞} be a Φ-mixing stationary sequence of random vectors with distribution function F and ξ=E(X1) be the corresponding empirical distribution function of X1,…,Xn,then we obtain an uniform almost sure representation of │{Fn(x)-F(x)}-{Fn(ξ)-F(ξ)}│ under different Φ -mixing conditions on Xi.
    Relation: 嘉南學報 28期 : p.37-43
    Appears in Collections:[Chna Nan Annual Bulletin] No.28 (2002)
    [Dept. of Cosmetic Science and institute of cosmetic science] Periodical Articles
    [Dept. of Information Management] Periodical Articles

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