MS (Master of Science)
Date of Award
Committee Chair or Co-Chairs
Anant Godbole, Michele Joyner, Nicole Lewis
The evolution of big data has led to financial time series becoming increasingly complex, noisy, non-stationary and nonlinear. Takens theorem can be used to analyze and forecast nonlinear time series, but even small amounts of noise can hopelessly corrupt a Takens approach. In contrast, Singular Spectrum Analysis is an excellent tool for both forecasting and noise reduction. Fortunately, it is possible to combine the Takens approach with Singular Spectrum analysis (SSA), and in fact, estimation of key parameters in Takens theorem is performed with Singular Spectrum Analysis. In this thesis, we combine the denoising abilities of SSA with the Takens theorem approach to make the manifold reconstruction outcomes of Takens theorem less sensitive to noise. In particular, in the course of performing the SSA on a noisy time series, we branch of into a Takens theorem approach. We apply this approach to a variety of noisy time series.
Dissertation - Open Access
Torku, Thomas K., "Takens Theorem with Singular Spectrum Analysis Applied to Noisy Time Series" (2016). Electronic Theses and Dissertations. Paper 3013. https://dc.etsu.edu/etd/3013
Copyright by the authors.