Skip to main content
  • 5173 Accesses

Abstract

In time series analysis, autoregressive integrated moving average (ARIMA) models have found extensive use since the publication of Box and Jenkins (1976). For an introduction to the standard ARIMA modeling in S-PLUS, see S-PLUS Guide to Statistics. Regression models are also frequently used in finance and econometrics research and applications. For example, as “factor” models for empirical asset pricing research and for parsimonious covariance matrix estimation in portfolio risk models. Often ARIMA models and regression models are combined by using an ARIMA model to account for serially correlated residuals in a regression model, resulting in REGARIMA models.

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

Access this chapter

eBook
USD 16.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

17.7 References

  • Bianco, A., Garcia Ben, M., Martinez, E., and Yohai, V. (1996). “Robust Procedure for Regression Models with ARIMA Errors,” in A. Prat (ed.) COMPSTAT 96 Proceedings Computational Statistics. Physica-Verlag, Heidelberg.

    Google Scholar 

  • Bianco, A., Garcia Ben, M., Martinez, E., and Yohai, V. (2001). “Outlier Detection in Regression Rodels with ARIMA Errors Using Robust Estimates,” Journal of Forecasting, 20, 565–579.

    Article  Google Scholar 

  • Box, G., and Jenkins, G. (1976). Time Series Analysis: Forecasting and Control. Holden-Day, San Francisco.

    MATH  Google Scholar 

  • Chang, I., Tiao, G. C., and Chen. C (1988). “Estimation of Time Series Parameters in the Presence of Outliers,” Technometrics, 30, 193–204.

    Article  MathSciNet  Google Scholar 

  • Martin, R. D., Samarov, A., and Vandaele, W. (1983). “Robust Methods for ARIMA Models,” in A. Zellner (ed.) Applied Time Series Analysis of Economic Data. U.S. Census Bureau, Government Printing Office.

    Google Scholar 

  • Martin, R.D., and V. J. Yohai (1996). “Highly Robust Estimation of Autoregressive Integrated Time Series Models,” Publicaciones Previas No. 89, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires.

    Google Scholar 

  • Masreliesz, C. J. (1975). “Approximate non-Gaussian Filtering with Linear State and Observation Relations,” IEEE Transactions on Automatic Control, AC-20, 107–110.

    Article  Google Scholar 

  • Tsay, R. S. (1988). “Outliers, Level Shifts and Variance Changes in Time Series,” Journal of Forecasting, 7, 1–20.

    Article  MathSciNet  Google Scholar 

  • Yohai, V. J., and Zamar, R. H. (1988). “High Breakdown-Point Estimates of Regression by Means of the Minimization of an Efficient Scale,” Journal of the American Statistical Association, 83, 406–413.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer Science+Business Media, Inc.

About this chapter

Cite this chapter

(2006). Robust Change Detection. In: Modeling Financial Time Series with S-PLUS®. Springer, New York, NY. https://doi.org/10.1007/978-0-387-32348-0_17

Download citation

Publish with us

Policies and ethics