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Bandwidth selection for kernel regression with correlated errors
Authors:Young Kyung Lee  Enno Mammen
Affiliation:1. Department of Statistics , Kangwon National University , Chuncheon, 200-701, Korea;2. Department of Economics , University of Mannheim , Mannheim, 68131, Germany
Abstract:In this paper, we propose bandwidth selectors for nonparametric regression with dependent errors. The methods are based on criteria that approximate the average squared error. We show that these approximations are uniform over the bandwidth sequence. The criteria involve some constants that depend on the unknown error correlations. We propose a novel way of estimating these constants. Our numerical study shows that the method is quite efficient in a variety of error models.
Keywords:bandwidth selection  nonparametric regression  correlated errors  Mallows’ C L   penalized least squares
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