Haar-Fisz estimation of evolutionary wavelet spectra

Piotr Fryzlewicz and Guy P. Nason

LSE Research Online Documents on Economics from London School of Economics and Political Science, LSE Library

Abstract: We propose a new 'Haar–Fisz' technique for estimating the time-varying, piecewise constant local variance of a locally stationary Gaussian time series. We apply our technique to the estimation of the spectral structure in the locally stationary wavelet model. Our method combines Haar wavelets and the variance stabilizing Fisz transform. The resulting estimator is mean square consistent, rapidly computable and easy to implement, and performs well in practice. We also introduce the 'Haar–Fisz transform', a device for stabilizing the variance of scaled χ2-data and bringing their distribution close to Gaussianity.

JEL-codes: C1 (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (16)

Published in Journal of the Royal Statistical Society. Series B: Statistical Methodology, 2006, 68(4), pp. 611-634. ISSN: 1369-7412

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Persistent link: https://EconPapers.repec.org/RePEc:ehl:lserod:25227

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