m(n)相依样本k近邻回归函数估计的一致强相合性(英文)

Stroug Uniform Consistency of k-Nearest Neighbor Regression Function Estimators Under m(n)-Dependent Sample

对一大类非参数回归函数，基于m（n）相依样本构造了回归函数的近邻估计并在合适的条件下获得了估计的一致强相合性及收敛速度．

For a wide class of nonparametric regression functions, the nearest neighbor estimator is constructed and rate of convergence for the estimator are obtained under some reasonable con-ditions.