Forecasting non-stationary time series by wavelet process modelling

Fryzlewicz, Piotr ORCID: 0000-0002-9676-902X, van Bellegem, Sébastien and von Sachs, Rainer (2003) Forecasting non-stationary time series by wavelet process modelling. Annals of the Institute of Statistical Mathematics, 55 (4). pp. 737-764. ISSN 0020-3157

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Abstract

Many time series in the applied sciences display a time-varying second order structure. In this article, we address the problem of how to forecast these nonstationary time series by means of non-decimated wavelets. Using the class of Locally Stationary Wavelet processes, we introduce a new predictor based on wavelets and derive the prediction equations as a generalisation of the Yule-Walker equations. We propose an automatic computational procedure for choosing the parameters of the forecasting algorithm. Finally, we apply the prediction algorithm to a meteorological time series.

Item Type:	Article
Official URL:	http://www.springer.com/statistics/journal/10463
Additional Information:	© 2003 The Institute of Statistical Mathematics
Divisions:	Statistics
Subjects:	H Social Sciences > HA Statistics
Date Deposited:	20 Nov 2009 14:45
Last Modified:	23 Sep 2024 19:54
URI:	http://eprints.lse.ac.uk/id/eprint/25830

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