Statistical Science

The Axioms of Subjective Probability

Peter C. Fishburn

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Abstract

This survey recounts contributions to the axiomatic foundations of subjective probability from the pioneering era of Ramsey, de Finetti, Savage, and Koopman to the mid-1980's. It is designed to be accessible to readers who have little prior acquaintance with axiomatics. At the same time, it provides a fairly complete picture of the present state of the measurement-theoretic foundations of subjective probability.

Article information

Source
Statist. Sci. Volume 1, Number 3 (1986), 335-345.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
http://projecteuclid.org/euclid.ss/1177013611

Digital Object Identifier
doi:10.1214/ss/1177013611

Mathematical Reviews number (MathSciNet)
MR858514

Zentralblatt MATH identifier
0604.60004

JSTOR
links.jstor.org

Keywords
Axioms for comparative probability numerical representations additivity countable additivity

Citation

Fishburn, Peter C. The Axioms of Subjective Probability. Statist. Sci. 1 (1986), no. 3, 335--345. doi:10.1214/ss/1177013611. http://projecteuclid.org/euclid.ss/1177013611.


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See also

  • See Comment: I. J. Good. [The Axioms of Subjective Probability]: Comment. Statist. Sci., Volume 1, Number 3 (1986), 346--347.
  • See Comment: Patrick Suppes. [The Axioms of Subjective Probability]: Comment. Statist. Sci., Volume 1, Number 3 (1986), 347--350.
  • See Comment: James O. Berger. [The Axioms of Subjective Probability]: Comment. Statist. Sci., Volume 1, Number 3 (1986), 351--352.
  • See Comment: Terrence L. Fine. [The Axioms of Subjective Probability]: Comment. Statist. Sci., Volume 1, Number 3 (1986), 352--354.
  • See Comment: Teddy Seidenfeld. [The Axioms of Subjective Probability]: Comment. Statist. Sci., Volume 1, Number 3 (1986), 354--356.
  • See Comment: Mervyn Stone. [The Axioms of Subjective Probability]: Comment. Statist. Sci., Volume 1, Number 3 (1986), 356--357.
  • See Comment: William D. Sudderth. [The Axioms of Subjective Probability]: Comment. Statist. Sci., Volume 1, Number 3 (1986), 357--358.
  • See Comment: Peter C. Fishburn. The Axioms of Subjective Probability: Rejoinder. Statist. Sci., Volume 1, Number 3 (1986), 358--358.