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A New Approach and Its Applications for Time Series Analysis and Prediction Based on Moving Average of n th-Order Difference

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Data Mining: Foundations and Intelligent Paradigms

Part of the book series: Intelligent Systems Reference Library ((ISRL,volume 24))

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Abstract

As a typical problem in data mining, Time Series Predictions are widely applied in various domains. The approach focuses on series of observations, with the aim that, using mathematics, statistics and artificial intelligence methods, to analyze, process and make a prediction on the next most probable value based on a number of previous values. We propose an algorithm using the average sum of n th -order difference of series terms with limited range margins, in order to establish a way to predict the next series term based on both, the original data set and a negligible error. The algorithm performances are evaluated using measurement data sets on monthly average Sunspot Number, Earthquakes and Pseudo-Periodical Synthetic Time Series.

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References

  1. Box, G.E.P., Jenkins, G.M., Reinsel, G.C.: Time Series Analysis: Forecasting and Control. Holden-day San Francisco (1976)

    Google Scholar 

  2. Calvo, R.A., Ceccatto, H.A., Piacentini, R.D.: Neural network prediction of solar activity. The Astrophysical Journal 444(2), 916–921 (1995)

    Article  Google Scholar 

  3. Cohen, P., Cohen, J., West, S.G., Aiken, L.S.: Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences, 3rd edn. Lawrence Erlbaum, Mahwah (2002)

    Google Scholar 

  4. Draper, N.R., Smith, H.: Applied Regression Analysis. John Wiley & Sons Inc., Chichester (1998)

    MATH  Google Scholar 

  5. Flajolet, P., Sedgewick, R.: Mellin transforms and asymptotics: Finite differences and rice’s integrals. Theoretical Computer Science 144(1-2), 101–124 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  6. Giles, C.L., Lawrence, S., Tsoi, A.C.: Noisy time series prediction using recurrent neural networks and grammatical inference. Machine Learning 44(1), 161–183 (2001)

    Article  MATH  Google Scholar 

  7. Golub, G.H., Loan, C.F.V.: Matrix Computations. Johns Hopkins University Press, Baltimore (1996)

    MATH  Google Scholar 

  8. Hathaway, D.H., Wilson, R.M., Reichmann, E.J.: The shape of the sunspot cycle. Solar Physics 151(1), 177–190 (1994)

    Article  Google Scholar 

  9. KDD: Knowledge discovery in database archive (kdd archive) (2007), http://kdd.ics.uci.edu/

  10. KDDArchive: Pseudo-periodic synthetic time series (2007), http://kdd.ics.uci.edu/databases/synthetic/synthetic.html

  11. Lan, Y., Neagu, D.: A New Time Series Prediction Algorithm Based on Moving Average of nth-Order Difference. In: Proceedings of the Sixth International Conference on Machine Learning and Applications, pp. 248–253. IEEE Computer Society, Washington, DC, USA (2007)

    Google Scholar 

  12. Lan, Y., Neagu, D.C.: Applications of the Moving Average of nth -Order Difference Algorithm for Time Series Prediction. In: Alhajj, R., et al. (eds.) ADMA 2007. LNCS (LNAI), vol. 4632, pp. 264–275. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  13. NDGC: National geophysical data center (ngdc), http://www.ngdc.noaa.gov/stp/SOLAR/ftpsunspotregions.html

  14. Saad, E.W., Prokhorov, D.V., Wunsch, D.C.I.: Comparative study of stock trend prediction using time delay, recurrent and probabilistic neural networks. IEEE Transactions on Neural Networks 9(6), 1456–1470 (1998)

    Article  Google Scholar 

  15. Simon, G., Lendasse, A., Cottrell, M., Fort, J.C., Verleysen, M.: Time series forecasting: Obtaining long term trends with self-organizing maps. Pattern Recognition Letters 26(12), 1795–1808 (2005)

    Article  Google Scholar 

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Lan, Y., Neagu, D. (2012). A New Approach and Its Applications for Time Series Analysis and Prediction Based on Moving Average of n th-Order Difference. In: Holmes, D.E., Jain, L.C. (eds) Data Mining: Foundations and Intelligent Paradigms. Intelligent Systems Reference Library, vol 24. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23241-1_8

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  • DOI: https://doi.org/10.1007/978-3-642-23241-1_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23240-4

  • Online ISBN: 978-3-642-23241-1

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