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。 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.
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机译：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。 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.
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