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Wavelet packet transfer function modelling of nonstationary time series

, and . Statistics and Computing, 12 (1): 45--56 (January 2002)
DOI: 10.1023/A:1013168221710

Abstract

This article shows how a non-decimated wavelet packet transform (NWPT) can be used to model a response time series, Yt, in terms of an explanatory time series, Xt. The proposed computational technique transforms the explanatory time series into a NWPT representation and then uses standard statistical modelling methods to identify which wavelet packets are useful for modelling the response time series. We exhibit S-Plus functions from the freeware WaveThresh package that implement our methodology.

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