STRONG APPROXIMATION FOR PERTURBED EMPIRICAL PROCESSES  

作　　者：ZHOU Yong(Department of Probability and Statistics, Peking University, Beijing 100871, China) 

出　　处：《Systems Science and Mathematical Sciences》1996年第4期345-353,共9页

摘　　要：ＳＴＲＯＮＧＡＰＰＲＯＸＩＭＡＴＩＯＮＦＯＲＰＥＲＴＵＲＢＥＤＥＭＰＩＲＩＣＡＬＰＲＯＣＥＳＳＥＳ￥ＺＨＯＵＹｏｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＰｒｏｂａｂｉｌｉｔｙａｎｄＳｔａｔｉｓｔｉｃｓ，ＰｅｋｉｎｇＵｎｉｖｅｒｓｉｔｙ，Ｂｅｉｊｉｎｇ１００８７...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.

关 键 词：STRONG APPROXIMATION empirical PROCESS BROWNIAN BRIDGE Kiefer PROCESS KerneLsin’oothing. 

分 类 号：O241.5[理学—计算数学]