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Prediction in locally stationary time series

Holger Dette and Weichi Wu

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Abstract: We develop an estimator for the high-dimensional covariance matrix of a locally stationary process with a smoothly varying trend and use this statistic to derive consistent predictors in non-stationary time series. In contrast to the currently available methods for this problem the predictor developed here does not rely on fitting an autoregressive model and does not require a vanishing trend. The finite sample properties of the new methodology are illustrated by means of a simulation study and a financial indices study.

Date: 2020-01, Revised 2020-01
New Economics Papers: this item is included in nep-ecm, nep-ets and nep-ore
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