摘要:
对随机设计非参数回归模型,在ρ混合样本下研究Nadaraya-Watson型核回归估计,证明了这种核回归估计的逐点矩相合性和全局矩相合性,所获结果推广了Devroye (1981)的结论。
Abstract:
For the nonparametric regression model with random design, we discuss the Nadaraya-Watson type kernel regression estimator for ρ mixing samples, and prove the point moment consistency and the global moment consistency of the kernel regression estimator. The obtained results generalize the Devroye’s (1981) conclusions.