Consistent estimation of a general nonparametric regression function in time series

Linton, O. & Sancetta, A. (2009). Consistent estimation of a general nonparametric regression function in time series. Journal of Econometrics, 152(1), 70-78. https://doi.org/10.1016/j.jeconom.2009.02.006
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We propose an estimator of the conditional distribution of Xt|Xt−1,Xt−2,…, and the corresponding regression function where the conditioning set is of infinite order. We establish consistency of our estimator under stationarity and ergodicity conditions plus a mild smoothness condition.

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