BANDWIDTH SELECTION IN KERNEL SMOOTHING OF TIME SERIES

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<jats:p><jats:bold>Abstract. </jats:bold> The kernel smoothing method has been considered as a useful tool for identification and prediction in time series models. In practice this method is to be tuned by a smoothing parameter. For selection of the smoothing parameter, Härdle and Vieu (Kernel regression smoothing of time series. <jats:italic>J. Time Ser. Anal.</jats:italic> 13(1992), 209–32) considered a cross‐validation rule and proved its asymptotic optimality. In this paper we strengthen their result for a wider use of the kernel smoothing of time series.</jats:p>

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