On Uniform Almost Sure Representation of the Empirical Distribution of Φ-Mixing Vectors

CNU IR > Chna Nan Annual Bulletin > No.28 (2002) > Item 310902800/21997

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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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