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STRONG APPROXIMATION FOR PERTURBED EMPIRICAL PROCESSES
作者姓名:ZHOU  Yong
作者单位:Department of Probability and Statistics,Peking University,Beijing 100871,China
摘    要:STRONGAPPROXIMATIONFORPERTURBEDEMPIRICALPROCESSES¥ZHOUYong(DepartmentofProbabilityandStatistics,PekingUniversity,Beijing10087...


STRONG APPROXIMATION FOR PERTURBED EMPIRICAL PROCESSES
ZHOU Yong.STRONG APPROXIMATION FOR PERTURBED EMPIRICAL PROCESSES[J].Journal of Systems Science and Complexity,1996(4).
Authors:ZHOU Yong
Abstract:Strong approximations for the perturbed (kernel-smoothing) empirical processare obtained under weak conditions. From these results we can obtain the law of iteratedlogarithm and asymptotic normality for the perturbed empirical process.
Keywords:Strong approximation  empirical process  Brownian bridge  Kiefer process  KerneLsin'oothing  
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