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 

机构地区：[1]Departmentofstatistics,ShanghaiUniversityofFinanceandEconomics,Shanghai200433,China. [2]DepartmentofstatisticsandFinance,UniversityofScienceandTechnologyofChina,Hefei230026,China.

出　　处：《Chinese Annals of Mathematics,Series B》2000年第4期489-498,共10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

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.

关 键 词：Directional data Laws of the iterated logrithm Regression function kernel estimator Strong convergence rates 

分 类 号：O212.7[理学—概率论与数理统计]