On a Geometric Representation of Probability Laws and of a Coherent Prevision-Function According to Subjectivistic Conception of Probability
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 previs...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Accademia Piceno Aprutina dei Velati
2018-07-01
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Series: | Ratio Mathematica |
Subjects: | |
Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/401 |
Summary: | 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. |
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ISSN: | 1592-7415 2282-8214 |