Skip to main content
Log in

Applications of AR*-GRNN model for financial time series forecasting

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

AR* models contain Autoregressive Moving Average and Generalized Autoregressive Conditional Heteroscedastic class model which are widely used in time series. Recent researches in forecasting with Generalized Regression Neural Network (GRNN) suggest that GRNN can be a promising alternative to the linear and nonlinear time series models. In this paper, a model composed of AR* and GRNN is proposed to take advantage of their feathers in linear and nonlinear modeling. In the AR*-GRNN model, AR* modeling improves the forecasting performance of the combined model by capturing statistical and volatility information from the time series. The relative experiments testify that the combined model provides an effective way to improve forecasting performance which can be achieved by either of the models used separately.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. Nelson D (1991) Conditional heteroscedasticity in asset returns: a new approach. Econometrica 59:347–370

    Article  MATH  MathSciNet  Google Scholar 

  2. Nelson DB (1990) ARCH models as diffusion approximations. J Econom 45:7–38

    Article  MATH  Google Scholar 

  3. Andersen TG, Bollerslev T (1998) Answering the skeptics: yes, standard volatility models do provide accurate forecasts. Int Econ Rev 39:885–905

    Article  Google Scholar 

  4. Bollerslev T, Chou RY, Kroner KF (1992) ARCH modeling in finance: a review of the theory and empirical evidence. J Econom 52:5–59

    Article  MATH  Google Scholar 

  5. Gourieroux C (1997) ARCH models and financial applications. Springer, Heidelberg

    MATH  Google Scholar 

  6. Cao LJ, Tay Francis EH (2001) Financial forecasting using support vector machines. Neural Comput Appl 10:184–192

    Article  MATH  Google Scholar 

  7. Qai M, Zhang GP (2001) An investigation of model selection criteria for neural network time series forecasting. Eur J Oper Res 132:188–102

    Google Scholar 

  8. McNelis PD (2005) Neural networks in finance: gaining predictive edge in the market. Elsevier/Academic, Amsterdam/London

    Google Scholar 

  9. Zhang P-Y, Lu T-S, Song L-B (2005) RBF networks-based inverse kinematics of 6R manipulator. Int J Adv Manuf Technol 26:144–147

    Article  Google Scholar 

  10. Leung MT, Chen AS, Daouk H (2000) Forecasting exchange rates using general regression neural networks. Comput Oper Res 27:1093–1110

    Article  MATH  Google Scholar 

  11. Tang Z, Almeida C, P.A. (1991) Fishwick, Time series forecasting using neural networks vs Box–Jenkins methodology. Simulation 57:303–310

  12. Palit AK, Popovic D (2001) Nonlinear combination of forecasts using artificial neural network, fuzzy logic and neurofuzzy approaches. In: Proceedings of the 9th IEEE international conference on fuzzy systems. Melbourne, Australia

  13. Peter Zhang G (2004) Time series forecasting using a hybrid ARIMA and neural network model. Neurocomputing 50:159–175

    Article  Google Scholar 

  14. Li W, Liu J, Le J, Wang X-R (2005) The financial time series forecasting based on proposed ARMA-GRNN model. In: Proc. of 2005 intl. conf. on machine learning and cyberntics 2005–2009

  15. Li W, Liu J, Le J (2005) Using GARCH–GRNN model to forecast financial time series. In: Proc. of the 20th international symposium on computer and information sciences. Istanbul, Turkey, Springer, LNCS vol 3733, pp 565–574

  16. Box GEP, Jenkins GM, Reinsel GC (1994) Time series analysis: forecasting and control, 3rd edn. Prentice–Hall, Englewood Cliffs

    Google Scholar 

  17. Bollerslev T (1986) Generalized autoregressive conditional heteroskedasticity. J Econom 31:307–327

    Article  MATH  MathSciNet  Google Scholar 

  18. Engle RF (1982) Autoregressive conditional heteroskedasticity with estimates of the variance of UK inflation. Econometrica 50:987–1008

    Article  MATH  MathSciNet  Google Scholar 

  19. Specht DF (1991) A general regression neural network. IEEE Trans Neural Netw 2:568–576

    Article  Google Scholar 

  20. Pai P-F, Lin C-S (2005) Using support vector machines to forecast the production values of the machinery industry in Taiwan. Int J Adv Manuf Technol

  21. Wasserman PD (1993) Advanced methods in neural computing. Van Nostrand Reinhold, New York, pp 155–161

    MATH  Google Scholar 

  22. http://www.mathworks.com/access/helpdesk/help/toolbox/nnet/radial79. html

  23. Efron B (1983) Estimating the error rate of a prediction rule: improvement on cross validation. J Am Stat Assoc 78(382):316–331

    Article  MATH  MathSciNet  Google Scholar 

  24. LeBaron B (1998) An evolutionary bootstrap method for selecting dynamic trading strategies. In: Refenes APN, Burgess AN, Moody JD (eds) Decision technologies for computational finance. Kluwer, Amsterdam, pp 141–160

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Weimin Li.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, W., Luo, Y., Zhu, Q. et al. Applications of AR*-GRNN model for financial time series forecasting. Neural Comput & Applic 17, 441–448 (2008). https://doi.org/10.1007/s00521-007-0131-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-007-0131-9

Keywords

Navigation