On a Geometric Representation of Probability Laws and of a Coherent Prevision-Function According to Subjectivistic Conception of Probability

Authors

  • Pierpaolo Angelini MIUR, Italy
  • Angela De Sanctis Department of Management and Business Administration, University G. d'Annunzio of Chieti-Pescara

DOI:

https://doi.org/10.23755/rm.v34i0.401

Keywords:

metric, collinearity, vector subspace, convex set, linear dependence

Abstract

We distinguish the two extreme aspects of the logic of certainty by identifying their corresponding structures into a linear space. We extend probability laws P formally admissible in terms of coherence to random quantities. We give a geometric representation of these laws P and of a coherent prevision function P which we previously defined in an original way. We are the first in the world to do this kind of work: it is the foundation of our next and extensive study concerning the formulation of a geometric, wellorganized and original theory of random quantities.

References

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Published

2018-07-07

Issue

Vol. 34 (2018)

Section

Volume 34-2018

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