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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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【Author】 WANG XIAOMING,ZHAO LINCHENG, WU YAOHUA (Department of statistics, Shanghai University of Finance and Economics, Shanghai 200433, China. Department of statistics and Finance, University of Science and Technology of China, Hefei 230026, China.)

【Abstract】 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.更多还原

【关键词】 Directional data； Laws of the iterated logrithm； Regression function kernel estimator； Strong convergence rates；
【Key words】 Directional data； Laws of the iterated logrithm； Regression function kernel estimator； Strong convergence rates；

【基金】 Project supported by the National Natural Science Foundation of China (Nos. 19631040; 19971085), the Doctoral Program Foundatio

【文献出处】 Chinese Annals of Mathematics ,数学年刊B辑(英文版) , 编辑部邮箱 ,2000年04期

【分类号】O212.7
【下载频次】9

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