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

JSTOR
links.jstor.org

Digital Object Identifier
doi:10.1214/ss/1177013611

Mathematical Reviews number (MathSciNet)
MR858514

Citation

Fishburn, Peter C. The Axioms of Subjective Probability. Statistical Science 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.