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Semiparametric estimation of regression functions in autoregressive models

Zhuoxi Yu, Dehui Wang and Ningzhong Shi

Statistics & Probability Letters, 2009, vol. 79, issue 2, 165-172

Abstract: This paper proposes a semiparametric method for an autoregressive model by combining a parametric regression estimator with a nonparametric adjustment. The regression has a parametric framework. After the parameter is estimated through a general parametric method, the obtained regression function is adjusted by a nonparametric factor, and the nonparametric factor is obtained through a natural consideration of the local L2-fitting criterion. Some asymptotic and simulation results for the semiparametric method are discussed.

Date: 2009
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