截断数据下非参数回归函数估计的强相合性

STRONG CONSISTENCY OF NONPARAMETRIC REGRESSION ESTIMATORS WITH CENSORED DATA

本文给出了截断数据下非参数回归函数m(x)=E(Y\X=x)的两种估计.在一定的条件下证明了第一种估计的强相合性且给出了第二种估计的强收敛速度.

This paper gives two estimators of nonparametric regression function m(x)=E(Y|X=x) with censored data. Under some conditions, the strong consistency of the first estimator is proved and the strong convergence rate of the seconed estimator is given.