END序列下非参数回归模型估计的相合性与完全收敛性

The consistency and complete convergence of estimators in non-parametric regression model with END sequences

研究误差为END序列的非参数回归模型未知函数估计量的极限性质.并利用END序列的Cr不等式,Rosenthal不等式以及权函数相关性质,证明其弱相合性与完全收敛性.

In this paper, based on END errors, the limit properties for unknown function g（·） in the nonparametric regression model is investigated. By using Cr inequality, Rosenthal inequality, and some properties of weighted functions, we obtained the weak convergence and complete convergence.