Abstract
Singular Spectrum Analysis (SSA) is a promising non-parametric time series modelling technique that has proved to be successful in data preprocessing in diverse application fields. It is a window length-based method and the appropriate selection of window length plays a crucial role in the accuracy of SSA. However, there are no specific methods depicted in the literature about its selection. In this study, the method of SSA in time series analysis is presented in detail and a sensitivity analysis of window length is carried out based on an observed daily rainfall time series.
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References
Box, G. E. P., & Jenkins, G. M. (1976). Time series analysis- forecasting and control (2nd ed.). San Francisco: Colorado State University.
de Menezes, M. L., & Souza, R. C. (2014). Pessanha JFM combining singular spectrum analysis and PAR(p) structures to model wind speed time series. Journal of Systems Science and Complexity, 27, 29–46.
Golyandina, N. (2010). On the choice of parameters in singular spectrum analysis and related subspace-based methods. Statistics and Its Interface, 3, 259–279.
Golyandina, N., & Zhigljavsky, A. (2013). Singular spectrum analysis for time series. London: Springer.
Helsel, D. R., & Hirsch, R. M. (2002). Statistical methods in water resources. In Hydrologic analysis and interpretation (pp. 1–510). U.S .Geological Survey.
Jothiprakash, V., & Magar, R. B. (2012). Multi-time-step ahead daily and hourly intermittent reservoir inflow prediction by artificial intelligent techniques using lumped and distributed data. Journal of Hydrology, 450–451, 293–307.
Machiwal, D., & Jha, M. K. (2012). Hydrologic time series analysis: Theory and practice. Berlin: Springer.
Priestley, M. (1981). Spectral analysis and time series. San Diego: Academic Press.
Singh, V. P. (1988). Hydrologic systems: Vol. 1. Rainfall-runoff modeling. Eagle Wood Cliffs, NJ: Prentice Hall.
Unnikrishnan, P., & Jothiprakash, V. (2015). Extraction of nonlinear rainfall trends using singular spectrum analysis. Journal of Hydrologic Engineering, 20, 501–507.
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Unnikrishnan, P., Jothiprakash, V. (2018). Selection of Window Length in Singular Spectrum Analysis of a Time Series. In: Bertail, P., Blanke, D., Cornillon, PA., Matzner-Løber, E. (eds) Nonparametric Statistics. ISNPS 2016. Springer Proceedings in Mathematics & Statistics, vol 250. Springer, Cham. https://doi.org/10.1007/978-3-319-96941-1_21
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DOI: https://doi.org/10.1007/978-3-319-96941-1_21
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