回归函数基于分割的改良递推估计的渐近正态性

Asymptotic Normality of Modified Partitioning Recursive Estimator of Regression Function

提出了回归函数基于分割的改良递推估计,mn(x)=sum (IAn(x) (Xi)YiI(|Yi|) from i=1 to n≤bi)/sum (IAn(x)(Xi)) from i=1 to n,并在较为简洁的条件下证明了该估计量的渐近正态性.

Modified partitioning recursive estimator of regression function is proposed,mn（x）=sum （IAn（x） （Xi）YiI（｜Yi｜） from i=1 to n≤bi）/sum （IAn（x）（Xi）） from i=1 to n and its asymptotic normality is also shown under some proper conditions.