删失样本下回归函数改良近邻估计的强相合性

Strong Consistency of the Improved Nearest Neighbor Estimate for Regression Function under Random Censorship

在删失样本下 ,得到了回归函数m(x) =E(YX =x)的改良近邻估计 ^m n(x) =∑ni =1Wni(x)Y iI( Y i ≤bn)的强相合性。

Under random censored data, * n(x)=∑ni=1W n i (x)Y * iI(|Y * i|≤b n) is the improved nearest neighbor estimate for regression function, the strong consistency of this estimator is obtained.