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Consistent estimation of a general nonparametric regression function in time series
Authors:Oliver Linton  Alessio Sancetta  
Institution:aDepartment of Economics, London School of Economics, Houghton Street, London WC2A 2AE, United Kingdom;bFaculty of Economics, University of Cambridge, Sidgwick Avenue, Cambridge CB3 9DD, United Kingdom
Abstract:We propose an estimator of the conditional distribution of Xt|Xt−1,Xt−2,…, and the corresponding regression function View the MathML source, where the conditioning set is of infinite order. We establish consistency of our estimator under stationarity and ergodicity conditions plus a mild smoothness condition.
Keywords:Kernel  Regression  Time series
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