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    Please use this identifier to cite or link to this item: http://ir.cnu.edu.tw/handle/310902800/22536


    標題: On Φ -mixing Random Variables
    關於Φ -混合隨機變數
    作者: Wen-Sz Chiue
    Chung-Wen Chang
    Bih-Sheue Shieh
    貢獻者: 化妝品應用管理系
    資訊管理系
    關鍵字: Φ -mixing
    stationary
    almost sure representation
    weak dependent
    Φ -混合
    穩定
    幾乎處處
    弱相關
    日期: 1999
    上傳時間: 2010-04-08 13:05:20 (UTC+8)
    摘要: Let {Yi:-∞<i<∞} and {Xi:∞<I<∞} be two Φ-mixing stationary sequences of random variables with P (Yi=1)=1-P(Yi=0)=pn. Define Sn=Y1+…+Yn. Then we obtain the rates of the asymptotic almost sure representation of Sn - npn under different Φ-mixing conditions and are used for proving the asymptotic almost sure representation of the empirical distribution function of Xi.
    設{Yi:-∞<i<∞}和{Xi:-∞<i<∞}為兩個Φ-混合穩定的隨機變數序列。P (Yi=1) = 1-P(Yi=0) =Pn。定義Sn=Y1+ …+Yn,在不同的Φ-混合條件下,我們分別得到Sn - npn的幾乎處處近似表現率,並用此証明Xi的經驗累積分配函數之幾乎處處近似表現。
    關聯: 嘉南學報 25 : p.185-190
    Appears in Collections:[嘉南學報] 25 期 (1999)
    [化妝品應用與管理系(所)] 期刊論文
    [資訊管理系] 期刊論文

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