Analysing multiple time series and extending significance testing in wavelet analysis
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586 citations
Cites background or methods from "Analysing multiple time series and ..."
...The wavelet power spectra could be compared with procedures based on multivariate methods like maximum covariance analysis that was originally used to compare spatio-temporal fields (Rouyer et al. 2008)....
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...At the other extreme, the surrogate by Theiler et al. (1992) mirrors a ‘‘hard’’ null-hypothesis that should be rejected with difficulty in the case of wavelet analysis because these bootstrapped series and the raw series share the same autocorrelation function (see Rouyer et al. 2008)....
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Cites result from "Analysing multiple time series and ..."
...A similar approach is also used in [146] to confirm associations in ecological time series....
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References
16,073 citations
"Analysing multiple time series and ..." refers background or methods in this paper
...Wavelet analysis (Daubechies 1992) is a time scale and/or time–frequency decomposition of the signal that overcomes these problems and provides a powerful tool for analysing non-stationary, aperiodic and noisy signals often found in ecological time series (Torrence & Compo 1998)....
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...This is because this methodology enables description of the variability of a time series in both time and frequency domains, and it can cope with aperiodic components, noise and transients (Daubechies 1992, Lau & Weng 1995, Torrence & Compo 1998)....
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14,157 citations
12,803 citations
"Analysing multiple time series and ..." refers background or methods in this paper
...Wavelet analysis (Daubechies 1992) is a time scale and/or time–frequency decomposition of the signal that overcomes these problems and provides a powerful tool for analysing non-stationary, aperiodic and noisy signals often found in ecological time series (Torrence & Compo 1998)....
[...]
...This is because this methodology enables description of the variability of a time series in both time and frequency domains, and it can cope with aperiodic components, noise and transients (Daubechies 1992, Lau & Weng 1995, Torrence & Compo 1998)....
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...The pointwise testing approach, used by Torrence & Compo (1998), relies on a parametric bootstrap to assess the significance of areas....
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3,494 citations