Skip to main content

Statistical Decision Method in Learning Control Systems

  • Chapter
  • 1094 Accesses

Abstract

Statistical decision is an effective method to control an unknown system with the aid of incomplete or slight information (e.g., a few past control experiences about the system). The statistical decision method itself has no learning property. But adequate treatment of each element of decision theory (e.g., probability function, loss function, etc.) makes it possible for the statistical decision method to acquire learning property.

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   99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   129.99
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. Y. Sawaragi, Y. Sunahara, and T. Nakamizo, Statistical Decision Theory in Adaptive Control Systems, Academic Press, 1967.

    Google Scholar 

  2. T. T. Lin and S. S. Yau, “Bayesian Approach to the Optimization of Adaptive Systems,” IEEE Trans. on Systems Science and Cybernetics, Nov. 1967.

    Google Scholar 

  3. Z. Bubnicki, “Least Interval Pattern Recognition and Its Application to Control Systems,” IFAC IV-th Congress, 1969.

    Google Scholar 

  4. B. Kondo and S. Eiho, “Statistical Min-Max Decision Methods and Their Applications to Learning Control,” IFAC IV-th Congress, 1969.

    Google Scholar 

  5. A. Wald, Statistical Decision Functions, Wiley, 1950.

    Google Scholar 

  6. J. C. C. McKinsey, Introduction to the Theory of Games, McGraw-Hill, 1952.

    Google Scholar 

  7. M. Aoki, “On Some Convergence Questions in Bayesian Optimization Problems,” IEEE Trans. on Automatic Control, April 1965.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1971 Plenum Press, New York

About this chapter

Cite this chapter

Eiho, S., Kondo, B. (1971). Statistical Decision Method in Learning Control Systems. In: Fu, K.S. (eds) Pattern Recognition and Machine Learning. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7566-5_22

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-7566-5_22

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-7568-9

  • Online ISBN: 978-1-4615-7566-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics