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A LAW OF THE ITERATED LOGARITHM FOR RANDOM WINDOW-WIDTH KERNEL ESTIMATOR OF A NONPARAMETRIC REGRESSION FUNCTION

A LAW OF THE ITERATED LOGARITHM FOR RANDOM WINDOW-WIDTH KERNEL ESTIMATOR OF A NONPARAMETRIC REGRESSION FUNCTION
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摘要 In this paper we study the estimation of the regression function.We establish a law ofthe iterated logarithm for the random window-width kernel estimator and,as an application,fora nearest neighbor estimator.These results give sharp pointwise rates of strong consistency ofthese estimators. In this paper we study the estimation of the regression function.We establish a law ofthe iterated logarithm for the random window-width kernel estimator and,as an application,fora nearest neighbor estimator.These results give sharp pointwise rates of strong consistency ofthese estimators.
作者 洪圣岩
机构地区 Anhui University
出处 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1990年第4期356-363,共8页
关键词 Regression function RANDOM window-width kernel ESTIMATOR nearest neighbor ESTIMATOR law of the ITERATED LOGARITHM Regression function random window-width kernel estimator nearest neighbor estimator law of the iterated logarithm
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