Skip to main content

Sequence Outlier Detection Based on Chaos Theory and Its Application on Stock Market

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4223))

Abstract

There are many observable factors that could influence and determine the time series. The dynamic equations of their interaction are always nonlinear, sometimes chaotic. This paper applied phase space reconstruction method to map time series into multi-dimension space based on chaos theory. Extracted from multi-dimension phase space by the method of sequential deviation detection, outlier set was used to construct a decision tree in order to identify the kinds of outliers. According to the results of decision tree, a trading strategy was set up and applied to Chinese stock market. The results show that, even in bear market, the strategy dictated by decision tree brought in considerable yield.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Box, G.E.P., Jenkins, G.M.: Time series Analysis: Forecasting and Control[M]. Halden-Day, San Francisco (1976)

    Google Scholar 

  2. Engle, R.F.: Autogressive conditional heteroskedasticity with estimates of the variance of UK inflation. Econometrica 50, 987–1008 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  3. Bollerslev, T.: Generalized autogressive conditional heteroskedasticity. Journal of Econometrics 31, 307–327 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  4. Pandit, S.M., Wu, S.M.: Time series and system analysis with applications. John Wiley & Sons, New York (1983)

    MATH  Google Scholar 

  5. Takens, F.: Detecting Strange Attractors in Turbulence. Lecture Note in Mathematics, pp. 366–381 (1980)

    Google Scholar 

  6. Albano, A.M., et al.: SVD and Grassberger-Procaccia algorithm. Phy. Rev. A. 38, 3017–3026 (1988)

    Article  MathSciNet  Google Scholar 

  7. Fraser, A.M.: Information and entropy in strange attractors. IEEE tron IT 35, 245–262 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  8. Kember, G., Folwer, A.C.: A correlation function for choosing time delays in phase portrait reconstructions. Phy. Lett. A. 179, 72–80 (1993)

    Article  Google Scholar 

  9. Kim, H.S., Eykholt, R., Salas, J.D.: Nonlinear dynamics, delay times, and embedding windows. Physica D 127, 49–59 (1999)

    Article  Google Scholar 

  10. Grassberger, P., Procaccia, I.: Phys. Rev. Lett., vol. 50, p. 345 (1983)

    Google Scholar 

  11. Brock, W.A., Hsieh, D.A., LeBaron, B.: Nonlinear Dynamics, Chaos, and Instability: Statistical Theory and Economic Evidence. MIT Press, Cambridge (1991)

    Google Scholar 

  12. Han, J., Kamber, M.: Data Mining: concepts and techniques. Morgan Kaufmann Publishers, San Francisco (2001)

    Google Scholar 

  13. Arning, A., Agrawal, R., Raghavan, P.: A linear method for deviation detection in large databases. In: Proc. 1996 int. conf. Data Mining and Knowledge Discovery, Philadelphia, PA, pp. 164–169 (1999)

    Google Scholar 

  14. Quinlan, J.R.: Induction of Decision Trees. Machine Learning 1(1) (1986)

    Google Scholar 

  15. Quinlan, J.R.: C4.5: Program of Machine Learning. Morgan Kaufmann, San Francisco (1993)

    Google Scholar 

  16. Rosenstein, M.T., Collins, J.J., De luca, C.J.: A practical method for calculating largest Lyapunov exponents in dynamical systems. Physica D 65, 117–134 (1992)

    Article  Google Scholar 

  17. Povinelli, R.J.: Identifying Temporal Patterns for Characterization and Prediction of Financial Time Series Events. Temporal, Spatial and Spatio-Temporal Data Mining, 46–61 (2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Xie, C., Chen, Z., Yu, X. (2006). Sequence Outlier Detection Based on Chaos Theory and Its Application on Stock Market. In: Wang, L., Jiao, L., Shi, G., Li, X., Liu, J. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2006. Lecture Notes in Computer Science(), vol 4223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881599_153

Download citation

  • DOI: https://doi.org/10.1007/11881599_153

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45916-3

  • Online ISBN: 978-3-540-45917-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics