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

作     者：WANGXIAOMING ZHAOLINCHENG WUYAOHUA 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.)

作者机构：DepartmentofstatisticsShanghaiUniversityofFinanceandEconomicsShanghai200433China. DepartmentofstatisticsandFinanceUniversityofScienceandTechnologyofChinaHefei230026China. 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2000年第21卷第4期

页      面：489-498页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 19631040 19971085), the Doctoral Program Foundatio 

主　　题：Directional data Laws of the iterated logrithm Regression function kernel estimator Strong convergence rates 

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.