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A LAW OF THE ITERATED LOGARITHM FOR L_1-NORM KERNEL ESTIMATOR OF THE CONDITIONAL MEDIAN

A LAW OF THE ITERATED LOGARITHM FOR L_1-NORM KERNEL ESTIMATOR OF THE CONDITIONAL MEDIAN
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摘要 Let (X,Y)be a pair of two-dimensional random variables.In this paper we establish a law of the iterated logarithm for the L_1-norm kernel estimator of the conditional median function of Y on X,which gives sharp pointwise rate of strong consistency. Let (X,Y)be a pair of two-dimensional random variables.In this paper we establish a law of the iterated logarithm for the L_1-norm kernel estimator of the conditional median function of Y on X,which gives sharp pointwise rate of strong consistency.
作者 洪圣岩
机构地区 Anhui University
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1993年第3期256-268,共13页 应用数学学报(英文版)
基金 This project is supported by the National Natural Science Foundation of China under Contract 18901001
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