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    Please use this identifier to cite or link to this item: http://ir.cnu.edu.tw/handle/310902800/21998


    標題: Approximation Theorems of the Empirical Distribution of the Sample Mean For Φ -Mixing Random Vectors
    Φ-混合隨機向量樣本平均之近似理論
    作者: Bih-Sheue Shieh
    Sheng-Kai Yang
    貢獻者: 資訊管理系
    化妝品應用與管理系
    關鍵字: weakly dependent random vectors
    invariant principle
    law of iterated logarithm
    Φ -mixing
    弱相關隨機向量
    不變原則
    對數反覆律
    Φ-混合
    日期: 2003
    上傳時間: 2010-03-24 16:45:17 (UTC+8)
    摘要: Let {Xi:-∞I<i<∞} be a Φ-mixing stationary sequence of random vectors. Let Fn(x) be the corresponding empirical distribution function of X1,…,Xn,and let X ,be the sample mean of the present investigation is to show that the asymptotic almostsure representation of Fn(X). Two different orders of the remainder term,under different Φ-mixing conditions, are obtained and used for proving functional central limit theorrms, laws of iterated logarithm, Wiener processes embedding and invariant principles for Fn(X).
    關聯: 嘉南學報 28期 : p.44-52
    Appears in Collections:[嘉南學報] 28 期 (2002)
    [資訊管理系] 期刊論文
    [化妝品應用與管理系(所)] 期刊論文

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