Skip to main content

Abstract

One special model of AR(1) series with time-dependent random coefficients is investigated. Conditions for stationarity and explicit forms of its covariance function and spectral density are derived.

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

Access this chapter

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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Anděl J. (1976): Autoregressive series with random parameters. Math. Operationsforsch. Statist. 7,735 – 761.

    Article  MathSciNet  Google Scholar 

  • Koubková A. (1982): First-order autoregressive processes with time-dependent random parameters. Kybernetika 18, 408 – 414.

    MathSciNet  MATH  Google Scholar 

  • Nicholls D.E. and Quinn B.G. (1982): Random coefficient autoregressive models. An introduction. Lecture Notes in Statistics 11, Springer, New York — Berlin.

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Academia, Publishing House of the Czechoslovak Academy of Sciences, Prague

About this chapter

Cite this chapter

Koubková, A. (1988). Random Coefficient AR(1) Process. In: Transactions of the Tenth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes. Transactions of the Tenth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes, vol 10A-B. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9913-4_6

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-9913-4_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-9915-8

  • Online ISBN: 978-94-010-9913-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics