2016
DOI: 10.1142/s021947751650005x
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A New Hybrid-Multiscale SSA Prediction of Non-Stationary Time Series

Abstract: Singular spectral analysis (SSA) is a non-parametric method used in the prediction of non-stationary time series. It has two parameters, which are difficult to determine and very sensitive to their values. Since, SSA is a deterministic-based method, it does not give good results when the time series is contaminated with a high noise level and correlated noise. Therefore, we introduce a novel method to handle these problems. It is based on the prediction of non-decimated wavelet (NDW) signals by SSA and then, p… Show more

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Cited by 9 publications
(4 citation statements)
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“…SSA is a typical time series analysis technique and is mainly utilized to solve the extraction of the trend or quasi‐periodic component, the reduction of signal noise, the prediction problem, and the detection of anomaly 31. At present, SSA has been widely used in climate, environment, finance, and other fields, which shows a very significant analysis effect 32–33…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…SSA is a typical time series analysis technique and is mainly utilized to solve the extraction of the trend or quasi‐periodic component, the reduction of signal noise, the prediction problem, and the detection of anomaly 31. At present, SSA has been widely used in climate, environment, finance, and other fields, which shows a very significant analysis effect 32–33…”
Section: Methodsmentioning
confidence: 99%
“…31 At present, SSA has been widely used in climate, environment, finance, and other fields, which shows a very significant analysis effect. 32,33 As a nonparametric spectral extraction method, SSA can be used to separate the mean trend and the fluctuation component from an original time series. The basic SSA algorithm consists of the two stages of decomposition and reconstruction, which is performed in the following steps.…”
Section: Singular Spectrum Analysismentioning
confidence: 99%
“…These decomposition methods can efficiently model the nonlinearities, however in many cases these components shows chaotic behaviour which degrades the prediction accuracy. To remove the uncertainty and low amplitude variations from these components and to improve the accuracy, singular spectrum analysis (SSA) [66,67] was found to be very useful. In [14], ensemble empirical mode decomposition (EEMD) is used to decomposed the time series data into different components.…”
Section: Hybrid Methodsmentioning
confidence: 99%
“…Ghanbarzadeh and Aminghafari [46] presented a technique for predicting the time series of the nonstationary mode. It was on the basis of predicting nondecimated wavelet (NDW) signals via SSA, and then predicting the residuals making use of the wavelet regression.…”
Section: Introductionmentioning
confidence: 99%