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Asymptotics of estimators for nonparametric multivariate regression models with long memory

Asymptotics of estimators for nonparametric multivariate regression models with long memory
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摘要 In this paper,a nonparametric multivariate regression model with long memory covariates and long memory errors is considered.We approximate the nonparametric multivariate regression function by the weighted additive one-dimensional functions.The local linear smoothing and least squares method are proposed for the one-dimensional regression estimation and the weight parameters estimation,respectively.The asymptotic behaviors of the proposed estimators are investigated. In this paper, a nonparametric multivariate regression model with long memory covariates and long memory errors is considered. We approximate the nonparametric multivariate regression function by the weighted additive one-dimensional functions. The local linear smoothing and least squares method are proposed for the one-dimensional regression estimation and the weight parameters estimation, respectively. The asymptotic behaviors of the proposed estimators are investigated.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2019年第4期403-422,共20页 高校应用数学学报(英文版)(B辑)
基金 Supported by the National Natural Science Foundation of China(No.11671194 and No.11501287)
关键词 ADDITIVE model local linear estimation LONG MEMORY time series Additive model local linear estimation long memory time series
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