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DISTRIBUTION FREE LAWS OF THEITERATED LOGARITHM FOR KERNELESTIMATOR OF REGRESSION FUNCTIONBASED ON DIRECTIONAL DATADISTRIBUTION FREE LAWS OF THEITERATED LOGARITHM FOR KERNELESTIMATOR OF REGRESSION FUNCTIONBASED ON DIRECTIONAL DATA 被引量:1

DISTRIBUTION FREE LAWS OF THE ITERATED LOGARITHM FOR KERNEL ESTIMATOR OF REGRESSION FUNCTION BASED ON DIRECTIONAL DATA DISTRIBUTION FREE LAWS OF THE ITERATED LOGARITHM FOR KERNEL ESTIMATOR OF REGRESSION FUNCTION BASED ON DIRECTIONAL DATA
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摘要 The authors derive laws of the iterated logarithm for kernel estimator of regression function based on directional data. The results are distribution free in the sense that they are true for all distributions of design variable.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2000年第4期489-498,共页 数学年刊(B辑英文版)
基金 Project supported by the National Natural Science Foundation of China (Nos. 19631040 19971085), the Doctoral Program Foundatio
关键词 Directional data LAWS of the ITERATED logrithm Regression function KERNEL ESTIMATOR STRONG convergence rates Directional data Laws of the iterated logrithm Regression function kernel estimator Strong convergence rates
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  • 1Zhao-Guo Chen,Theo Gasser. A law of the iterated logarithm for kernel estimators of regression functions[J] 1992,Probability Theory and Related Fields(3):285~296

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