Nonparametric regression for locally stationary time series
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If you have a question about this talk, please contact Richard Samworth.
We study nonparametric models allowing for locally stationary
regressors and a regression function that changes smoothly over time. These
models are a natural extension of time series models with time-varying
coefficients. We introduce a kernel-based method to estimate the
time-varying regression function and provide asymptotic theory for our
estimates. Moreover, we show that the main conditions of the theory are
satisfied for a large class of nonlinear autoregressive processes with a
time-varying regression function. Finally, we examine structured models
where the regression function splits up into time-varying additive
components. As will be seen, estimation in these models does not suffer from
the curse of dimensionality.
This talk is part of the Statistics series.
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