Skip to main content
SpringerLink
Log in

Conditions on upper and lower probabilities to imply probabilities

  • Published:
Erkenntnis Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  • Choquet, G.: 1955, ‘Theory of Capacities’,Annales de l'Institut Fourier 5, 131–295.

    Google Scholar 

  • de Finetti, B.: 1975,Theory of Probability, vols. 1 and 2, Wiley, New York, (English translation of 1970 Italian edition).

    Google Scholar 

  • Dempster, A. P.: 1967, ‘Upper and Lower Probabilities Induced by a Multivalued Mapping’,Annals of Mathematical Statistics 38, 325–40.

    Google Scholar 

  • Kranz, P.: 1972, ‘Additive Functionals on Abelian Semigroups’,Annales Societatis Mathematicae Polonae, Series I: Commentationes Mathematicae XVI, 239–46.Rocznieki Polskiego Towarzystwa Matematycznego, Seria I: Prace Matematyczne XVI.

    Google Scholar 

  • Papamarcou, A. and T. L. Fine: 1986, ‘A Note on Undominated Lower Probabilities’,The Annals of Probability 14, 710–23.

    Google Scholar 

  • Scott, D.: 1964, ‘Measurement Models and Linear Inequalities,Journal of Mathematical Psychology 1, 233–47.

    Google Scholar 

  • Suppes, P. and M. Zanotti: 1976, ‘Necessary and Sufficient Conditions for Existence of a Unique Measure Strictly Agreeing with a Qualitative Probability Ordering’,Journal of Philosophical Logic 5, 431–38.

    Google Scholar 

  • Suppes, P. and M. Zanotti: 1977, ‘On Using Random Relations to Generate Upper and Lower Probabilities’,Synthese 36, 427–40.

    Google Scholar 

  • Suppes, P. and M. Zanotti: 1982, ‘Necessary and Sufficient Qualitative Axioms for Conditional Probability’,Z. Wahrscheinlichkeitstheorie verw. Gebiete 60, 163–69.

    Google Scholar 

  • Suppes, P. and M. Zanotti: in press,Qualitative Axioms for Random-Variable Representation of Extensive Quantities, in C. W. Savage and P. Ehrlich (eds.),The Nature and Purpose of Measurement. Minneapolis: University of Minnesota Press.

  • Walley, P.: 1981, ‘Coherent Lower (and Upper) Probabilities’,Technical Report, Department of Statistics, University of Warwick, England.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Mathematical Studies in the Social Sciences, Stanford University, Ventura Hall, 94305, Stanford, CA, USA

    Patrick Suppes & Mario Zanotti

Authors
  1. Patrick Suppes
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mario Zanotti
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Suppes, P., Zanotti, M. Conditions on upper and lower probabilities to imply probabilities. Erkenntnis 31, 323–345 (1989). https://doi.org/10.1007/BF01236568

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01236568

Keywords

Search

Navigation