| ASYMPTOTIC NORMALITY OF KERNEL ESTIMATES OF A DENSITY FUNCTION UNDER ASSOCIATION DEPENDENCE |
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| 作者姓名： | 林正炎 |
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| 作者单位： | Department of |
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| 基金项目： | NSFC(10131040),SRFDP (2002335090)and KRF(D00008) |
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| 摘 要： | Let {X_n, n≥1} be a strictly stationary sequence of random variables, whichare either associated or negatively associated, f(·) be their common density. In this paper,the author shows a central limit theorem for a kernel estimate of f(·) under certain regularconditions.
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ASYMPTOTIC NORMALITY OF KERNEL ESTIMATES OF A DENSITY FUNCTION UNDER ASSOCIATION DEPENDENCE |
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| Lin Zhengyan.ASYMPTOTIC NORMALITY OF KERNEL ESTIMATES OF A DENSITY FUNCTION UNDER ASSOCIATION DEPENDENCE[J].Acta Mathematica Scientia,2003,23(3). |
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| Authors: | Lin Zhengyan |
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| Institution: | Lin Zhengyan Department of Mathematics,Zhejiang University,Hangzhou 310028,China |
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| Abstract: | Let {Xn,n> _ 1} be a strictly stationary sequence of random variables,which are either associated or negatively associated,f(·)be their common density.In this paper,the author shows a central limit theorem for a kernel estimate of f(·)under certain regular conditions. |
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| Keywords: | Associated random variables negatively associated random variables kernel estimate of a density function central limit theorem |
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