Skip to main content

Axioms

  • Chapter
Bayes Theory

Part of the book series: Springer Series in Statistics ((SSS))

  • 1099 Accesses

Abstract

The objects of probability will be bets X, Y, ... that have real-valued payoffs X(s), Y(s), ... according to the true state of nature s,where s may be any of the states in a set S.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

  • De Finetti, B. (1970), Theory of Probability, Vol. 1. John Wiley: London.

    Google Scholar 

  • De Finetti, B. (1972), Theory of Probability, Vol. 2. John Wiley: London.

    Google Scholar 

  • Dunford, N. and Schwartz, J. T. (1964), Linear Operators, Part I. John Wiley: New York.

    Google Scholar 

  • Fine, T. (1973); Theories of Probability, an Examination of Foundations. New York: Academic Press.

    Google Scholar 

  • Jeffreys, H. (1939), The Theory of Probability. London: Oxford University Press.

    Google Scholar 

  • Keynes, J. M. (1921), A Treatise on Probability. New York: Harper.

    Google Scholar 

  • Kolmogorov, A. N. (1950), Foundations of the Theory of Probability. New York: Chelsea.

    Google Scholar 

  • Koopman, B. O. (1940), The bases of probability, Bull. Am. Math. Soc. 46, 763–774.

    Article  MathSciNet  Google Scholar 

  • Kraft, C., Pratt, J. and Seidenberg, A. (1959), Intuitive probability on finite sets, Ann. Math. Statist. 30, 408–419.

    Article  MathSciNet  MATH  Google Scholar 

  • Loomis, L. H. (1953), An Introduction to Abstract Harmonic Analysis. Princeton: Van Nostrand.

    MATH  Google Scholar 

  • Renyi, A. (1970), Probability Theory. New York: American Elsevier.

    Google Scholar 

  • Ramsey, F. P. (1926), Truth and probability, reprinted in H. E. Kyburg and H. E. Smokier (eds.), Studies in Subjective Probability. New York: John Wiley, 1964, pp. 61–92.

    Google Scholar 

  • Savage, L. J. (1954), The Foundations of Statistics. New York: John Wiley.

    MATH  Google Scholar 

  • Scott, D. (1964), Measurement structures and linear inequalities, J. Math. Psych. 1, 233–247.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag New York Inc.

About this chapter

Cite this chapter

Hartigan, J.A. (1983). Axioms. In: Bayes Theory. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8242-3_2

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-8242-3_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8244-7

  • Online ISBN: 978-1-4613-8242-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics