摘要
在ＮＡ相依样本下研究非参数回归函数加权核估计的相合性，对完全收敛和强相合性给出较弱的充分条件．与此同时对ＮＡ序列给出一个简洁实用的Ｂｅｒｎｓｔｅｉｎ型不等式．
Based on NA dependent samples, the consistency of weighted kernel estimator of nonparametric regression functions is discussed. The more weakly sufficient conditions for its complete convergence and strong consistency are established. At the same time, a simple and useful Bernstein's inequlity for NA sequences is obtained.
出处
《广西师范大学学报（自然科学版）》
CAS
1998年第4期28-34,共7页
Journal of Guangxi Normal University:Natural Science Edition
基金
广西青年科学基金
广西高校科研基金
关键词
NA相依
非参数回归函数
加权核估计
强相合性
NA dependence
nonparametric function
weighted kernel estimator
complete convergence
strong consistency
