φ—混合序列下回归函数估计的相合性

Consistence of Regression Function Estimate in Φ-mixed Sequence

本文在样本序列{(X_n,Y_n),n≥1}为φ-混合的,平稳的情形下讨论了回归函数m(x)的最近邻估计m_n(x)的L_p相合性和强相合性,并给出了它在非参数k_n-NN判别中的一个应用。

In this paper, we had discussed problem of Lp consistence and strong consistence of most nearby estimate m_n(x) of regressing function m(x) in Φ-mixed and stationary sample sequence {(x_n, Y_n), n≥1} and gave an application in Nonparametric test of k_n-NN.