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TrendLSW: Trend and Spectral Estimation of Nonstationary Time Series in R

delete2025-12-01
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PRE
AI
E
Euan T. McGonigle *
R
Rebecca Killick
M
Matthew A. Nunes
DOI:10.18637/jss.v115.i10delete
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Abstract

Abstract

En 中文
The TrendLSW R package has been developed to provide users with a suite of waveletbased techniques to analyze the statistical properties of nonstationary time series. The key components of the package are (a) two approaches for the estimation of the evolutionary wavelet spectrum in the presence of trend; and (b) wavelet-based trend estimation in the presence of locally stationary wavelet errors via both linear and nonlinear wavelet thresholding; and (c) the calculation of associated pointwise confidence intervals. Lastly, the package directly implements boundary handling methods that enable the methods to be performed on data of arbitrary length, not just dyadic length as is common for waveletbased methods, ensuring no preprocessing of data is necessary. The key functionality of the package is demonstrated through two data examples, arising from biology and activity monitoring.
Keywords:
TrendLSW
evolutionary wavelet spectrum
trend estimation
locally stationary time series
R

Journal

Journal of Statistical Software cover
Journal of Statistical Software
IF:
8.1
Papers:
616
Citations:
4.6W

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University of Bath
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university of southampton
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lancaster university
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