Skip to main content

The discount sequence

  • Chapter

Part of the book series: Monographs on Statistics and Applied Probability ((MSAP))

Abstract

The particular discount sequence plays a critical role in any bandit or other decision problem. Various interpretations of discount sequences are discussed in this chapter. One purpose of the discussion is to aid a user in choosing an appropriate sequence; another is to motivate interest in the generality of discounting allowed in this monograph.

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   89.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   119.99
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

  • Berry, D. A. (1983) Bandit problems with random discounting. Mathematical Learning Models—Theory and Algorithms (eds U. Herkenrath, D. Kalin and W. Vogel), pp. 12–25, Springer-Verlag, New York.

    Google Scholar 

  • Clayton, M. K. (1983) Bayes sequential sampling for choosing the better of two populations. Ph.D. thesis, Univ. of Minnesota, USA.

    Google Scholar 

  • Lindley, D. V. and Barnett, B. N. (1965) Sequential sampling: two decision problems with linear losses for binomial and normal random variables. Biometrika 52: 507–532.

    MathSciNet  MATH  Google Scholar 

  • Pratt, J. W. (1966) The outer needle of some Bayes sequential continuation regions. Biometrika 53: 455–467.

    MathSciNet  MATH  Google Scholar 

  • Ray, S. N. (2965) Bounds on the maximal sample size of a Bayes sequential procedure. Ann. Math. Statist. 36: 859–878.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1985 D. A. Berry and B. Fristedt

About this chapter

Cite this chapter

Berry, D.A., Fristedt, B. (1985). The discount sequence. In: Bandit problems. Monographs on Statistics and Applied Probability. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-3711-7_3

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-3711-7_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-015-3713-1

  • Online ISBN: 978-94-015-3711-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics