Abstract

In this paper the notion of coherent prevision given by de Finetti for bounded random quantities is extended to arbitrary ones. It is shown that the main properties of de Finetti’s prevision are preserved by the extended notion and some of his conjectures on previsions of unbounded random quantities are proved. Finally, a representation theorem for finite previsions in terms of Riemann-Stieltjes integral is given for random quantities defined on a common partition of the certain event and an ensuing possible interpretation for modelling real situations is discussed.

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