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Analysis of Non-Stationary Dynamics in the Financial System
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In this paper, the authors used functional principal component analysis (fPCA) and Synchrosqueezing to detect key historic periods of instability in financial time series and reveal distinctions between periods of longterm gradual change in addition to structural breaks.Abstract:
Novel data-driven analyses, appropriate for detecting economic instability in non-stationary time series, are developed using functional principal component analysis (fPCA) and Synchrosqueezing. fPCA is applied in a new way, aggregating multiple financial time series to identify periods of macroeconomic instability. Synchrosqueezing, a technique which generates a time-series’ time-dependent spectral decomposition, is modified to develop a new quantitative measure of local dynamic changes and structural breaks. The merit of this integrated technique is demonstrated by analyzing financial data from 1986 to 2012 that includes equity indices, securities and commodities, and foreign exchange. Both procedures successfully detect key historic periods of instability. Moreover, the results reveal distinctions between periods of longterm gradual change in addition to structural breaks. These tools offer new insights in the analysis of financial instability.read more
Citations
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Matching synchrosqueezing transform: A useful tool for characterizing signals with fast varying instantaneous frequency and application to machine fault diagnosis
TL;DR: In this paper, a matching synchrosqueezing transform (MSST) was proposed to improve the readability of the TF representation of nonstationary signals composed of multiple components with slow varying instantaneous frequency (IF).
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ConceFT: Concentration of Frequency and Time via a multitapered synchrosqueezed transform
TL;DR: In this paper, a new method is proposed to determine the time-frequency content of time-dependent signals consisting of multiple oscillatory components, with time-varying amplitudes and instantaneous frequencies.
Journal ArticleDOI
Time-reassigned synchrosqueezing transform: The algorithm and its applications in mechanical signal processing
TL;DR: In this article, a time-reassigned synchrosqueezing transform (TSST) was proposed for impulsive-like signal whose TF ridge curves is nearly parallel with the frequency axis.
Journal ArticleDOI
Instantaneous frequency estimation based on synchrosqueezing wavelet transform
Qingtang Jiang,Bruce W. Suter +1 more
TL;DR: The numerical experiments show that the instantaneous frequency-embedded synchrosqueezing wavelet transform (IFE-SST) outperforms the CWT-based SST in IF estimation and separation of multicomponent signals.
Journal ArticleDOI
Wave-shape function analysis -- when cepstrum meets time-frequency analysis
Chen-Yun Lin,Li Su,Hau-Tieng Wu +2 more
TL;DR: The concept of cepstrum is applied to eliminate the wave-shape function influence on the TF analysis, and a new algorithm, named de-shape synchrosqueezing transform (de-shape SST), is proposed.
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