Abstract
Using daily RON/EURO exchange rate data for the 01:2005 to 03:2013 period we test the presence of structural break using the Zivot-Andrews test and PELT algorithm. After the identification of structural breaks we generate small time series consisting of 10, 30 observations starting from the moment of the break and apply the following smoothing techniques: simple moving average, exponential moving average, a Grey model GM(1,1). We identify the best smoothing techniques using sum of squared errors (SSE) and mean relative error (MRE), in small samples GM(1,1) over-performed the moving average and the exponential moving average smoothing techniques.
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References
Bianco, V., Manca, O., Nardini, S., Minea, A.: Analysis and forecasting of non-residential electricity consumption in Romania. Applied Energy 87(11), 3584–3590 (2010)
Box, G., Jenkins, G., Reinsel, G.: Time series analysis: forecasting and control, pp. 1013–1015. Wiley (2011)
Granger, C.W.J., Ding, Z.G.: Some properties of absolute return: An alternative measure of risk. Annales dEconomie et de Statistique, 67–91 (1995)
Ho, C.-T.: Measuring bank operations performance: an approach based on Grey Relation Analysis. Journal of the Operational Research Society 57(4), 337–349 (2005)
Hung, C., Huang, X.-Y., Lin, H.-K., Hou, Y.-H.: Integrated Time Series Forecasting approaches using moving average, grey prediction, support vector regression and bagging for NNGC. In: The 2010 International Joint Conference on Neural Networks (IJCNN), vol. 16 (2010)
Julong, D.: The grey control system. Journal of Huazhong University of Science and Technology 3(9), 18 (1982)
Killick, R., Fearnhead, P., Eckley, I.: Optimal detection of changepoints with a linear computational cost. Journal of the American Statistical Association (2012) (accepted)
Killick, R., Eckley, I.: Changepoint: An R package for changepoint analysis. R package version 0.6, pp. 1–18 (2012), http://www.lancs.ac.uk/killick/Pub/KillickEckley2011.pdf
Liu, S., Forrest, J.Y.L.: Grey systems: theory and applications, vol. 68. Springer (2012)
Perron, P.: The great crash, the oil price shock, and the unit root hypothesis. Econometrica: Journal of the Econometric Society 57(6), 1361–1401 (1989)
Sen, A.: On unit-root tests when the alternative is a trend-break stationary process. Journal of Business & Economic Statistics (573) (2003)
Tseng, F., Yu, H., Tzeng, G.: Applied Hybrid Grey Model to Forecast. Technological Forecasting and Social Change, 291–302 (2001)
Wang, C.-P., Lin, S.-H., Huang, H.-H., Wu, P.-C.: Using neural network for forecasting TXO price under di erent volatility models. Expert Systems with Applications 39(5), 5025–5032 (2012)
Yang, Y., Chen, W., Lu, H.: A Fuzzy-Grey Model for Non-stationary Time Series Prediction. Appl. Math. (2) (2012)
Zivot, E., Andrews, D.: Further evidence on the great crash, the oil-price shock, and the unit-root hypothesis. Journal of Business & Economic Statistics 10(3), 251–270 (1992)
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Scarlat, E., Zapodeanu, D., Ioan, C.M. (2014). Comparing Smoothing Technique Efficiency in Small Time Series Datasets after a Structural Break in Mean. In: Badica, A., Trawinski, B., Nguyen, N. (eds) Recent Developments in Computational Collective Intelligence. Studies in Computational Intelligence, vol 513. Springer, Cham. https://doi.org/10.1007/978-3-319-01787-7_14
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DOI: https://doi.org/10.1007/978-3-319-01787-7_14
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