Skip to main content
Log in

Qualitative independence in probability theory

Theory and Decision Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  • Domotor, Z. (1970) ‘Qualitative information and entropy structures,’ in J. Hintikka and P. Suppes (eds.), Information and Inference. Dordrecht, Holland: Reidel, pp. 148–194.

    Google Scholar 

  • Fine, T. L. (1973) Theories of probability. New York: Academic Press

    Google Scholar 

  • Keynes, J. M. (1929) A treatise on probability. London: Macmillan.

    Google Scholar 

  • Kolmogorov, A. N. (1933 and 1950) Foundations of the theory of probability. New York: Chelsea, (Translation of Grundbegriffe der Wahrscheinlichkeitrechnung, Ergebnisse Der Mathematik).

    Google Scholar 

  • Krantz, D. H., Luce, R. D., Suppes, P. & Tversky, A. (1971) Foundations of measurement. Vol. I. New York: Academic Press.

    Google Scholar 

  • Luce, R. D. (1978) ‘Dimensionally invariant laws correspond to meaningful qualitative relations’. Philosophy of science, in press.

  • Narens, L. (1976) ‘Utility-uncertainty trade-off structures.’ Journal of mathematical psychology, 13, 296–322.

    Google Scholar 

  • Narens, L. & Luce, R. D. (1976) ‘The algebra of measurement.’ Journal of pure and applied algebra, 8, 197–233.

    Google Scholar 

  • Savage, L. J. (1954) The foundations of statistics. New York: Wiley.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was supported in part by National Science Foundation grants to Harvard University and to the University of California at Irvine. We thank George Avrunin, Michael Cohen, and Jean-Claude Falmagne for their helpful comments; in particular, Avrunin pointed out an error in an earlier proof of Theorem 7.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Luce, R.D., Narens, L. Qualitative independence in probability theory. Theor Decis 9, 225–239 (1978). https://doi.org/10.1007/BF00133452

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00133452

Keywords

Navigation