Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content

State Space Models and Markov Switching Models

  • Chapter
  • First Online:
Applied Time Series Analysis and Forecasting with Python

Part of the book series: Statistics and Computing ((SCO))

  • 3834 Accesses

Abstract

The state space methods or models provide a unified and flexible methodology and technology for handling a wide range of problems in time series analysis and are also applied in other fields including artificial intelligence. This chapter introduces the basic principle of state space methods and its application to SARIMAX modeling with Python, presents relationship between state space models and ARIMAX models using the local-level model, and lastly discusses the Markov switching model which is useful in econometrics and other disciplines.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

eBook
USD 19.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 27.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  • Brockwell, P.J., Davis, R.A.: Introduction to Time Series and Forecasting, 3rd edn. Springer, Switzerland (2016)

    Book  Google Scholar 

  • Casals, J., Garcia-Hiernaux, A., Jerez, M., Sotoca, S., Trindade, A.A.: State-Space Methods for Time Series Analysis: Theory, Applications and Software. CRC Press, London (2016)

    MATH  Google Scholar 

  • Douc, R., Moulines, E., Stoffer, D.S.: Nonlinear Time Series: Theory, Methods, and Applications with R Examples. CRC Press, Boca Raton (2014)

    Book  Google Scholar 

  • Durbin, J., Koopman, S.J.: Time Series Analysis by State Space Methods, 2nd edn. Oxford University Press, Oxford, UK (2012)

    Book  Google Scholar 

  • Frühwirth-Schnatter, S.: Finite Mixture and Markov Switching Models. Springer, New York (2006)

    MATH  Google Scholar 

  • Gómez, V.: Multivariate Time Series With Linear State Space Structure. Springer, Switzerland (2016)

    Book  Google Scholar 

  • Hamilton, J.D.: A new approach to the economic analysis of nonstationary time series and the business cycle. Econometrica 57, 357–384 (1989)

    Article  MathSciNet  Google Scholar 

  • Harvey, A.C.: Forecasting, Structural Time Series Models and the Kalman Filter. Cambridge University Press, Cambridge (1989)

    Google Scholar 

  • Kalman, R.E.: A new approach to linear filtering and prediction problems. Trans. ASME J. Basic Eng. (Series D) 82, 35–45 (1960)

    Google Scholar 

  • Kalman, R.E., Bucy, R.S.: New results in linear filtering and prediction theory. Trans. ASME J. Basic Eng. (Series D) 83, 95–108 (1961)

    Google Scholar 

  • Kim, C.J., Nelson, C.R.: State-Space Models with Regime Switching: Classical and Gibbs-Sampling Approaches with Applications. The MIT Press, Cambridge (1999)

    Google Scholar 

  • McCulloch, R.E., Tsay, R.S.: Statistical analysis of economic time series via Markov switching models. J. Time Ser. Anal. 15, 523–539 (1994)

    Article  Google Scholar 

  • Russell, S.J., Norvig, P.: Artificial Intelligence: A Modern Approach, 4rd edn. Pearson Education, Hoboken, NJ (2021)

    Google Scholar 

  • Shumway, R.H., Stoffer, D.S.: Time Series Analysis and Its Applications With R Examples, 4th edn. Springer, New York (2017)

    Book  Google Scholar 

  • Tsay, R.S.: Analysis of Financial Time Series, 3rd edn. Wiley, Hoboken, NJ (2010)

    Book  Google Scholar 

  • Tsay, R.S., Chen, R.: Nonlinear Time Series Analysis. Wiley, Hoboken, NJ (2019)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Huang, C., Petukhina, A. (2022). State Space Models and Markov Switching Models. In: Applied Time Series Analysis and Forecasting with Python. Statistics and Computing. Springer, Cham. https://doi.org/10.1007/978-3-031-13584-2_8

Download citation

Publish with us

Policies and ethics