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A notion of coherent conditional prevision for arbitrary random quantities

Author

Listed:
  • L. Crisma

    (Università di Trieste)

  • P. Gigante

    (Università di Trieste)

Abstract

In the paper we give a notion of coherent prevision for arbitrary random quantities which extends the notions given by Holzer (1985) for bounded conditional random quantities and by Crisma et al. (1997) for arbitrary but unconditional random quantities. We show that the main properties of the prevision are preserved, apart from the multiplicative one which may fail in the presence of non-finite previsions.

Suggested Citation

  • L. Crisma & P. Gigante, 2001. "A notion of coherent conditional prevision for arbitrary random quantities," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 10(1), pages 29-40, January.
    • Handle: RePEc:spr:stmapp:v:10:y:2001:i:1:d:10.1007_bf02511637
    DOI: 10.1007/BF02511637
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    Citations

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    Cited by:

    1. Mark J. Schervish & Teddy Seidenfeld & Joseph B. Kadane, 2014. "On the equivalence of conglomerability and disintegrability for unbounded random variables," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 23(4), pages 501-518, November.
    2. Mark Schervish & Teddy Seidenfeld & Joseph Kadane, 2014. "On the equivalence of conglomerability and disintegrability for unbounded random variables," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 23(4), pages 501-518, November.
    3. Vantaggi, Barbara, 2010. "Incomplete preferences on conditional random quantities: Representability by conditional previsions," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 104-112, September.

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