Add to ORKGWe 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. This work is the foundation of our next and extensive study concerning the formulation of a geometric, well-organized and original theory of random quantities
Whether random phenomena exist in nature or not, it is useful to think of the notion of randomness a...
Early work on the frequency theory of probability made extensive use of the notion of randomness, co...
Background. We may ask a number of questions about the nature of the relationship between geometry...
We distinguish the two extreme aspects of the logic of certainty by identifying their corresponding ...
It is necessary to distinguish the logic of certainty from the logic of probable. By fusing together...
In the domain of the logic of certainty we study the objective notions of the subjective probability...
I accept the principles of the theory of concordance into the domain of subjective probability in or...
In this paper we consider general conditional random quantities of the kind X|Y , where X and Y are ...
After a brief review of ontic and epistemic descriptions, and of subjective, logical and statistical...
I realized that it is possible to construct an original and wellorganized theory of multiple random ...
We consider a conception of reality that is the following: An object is 'real' if we know that if we...
Let C be a class of arbitrary real random elements and P an extended real valued function on C. Two ...
A process of construction of subjective probability based on bets introduced by Bruno de Finetti on ...
In this paper we consider imprecise conditional prevision assessments on random quantities with fini...
International audienceWe study a probabilistic version of coherence spaces and show that these objec...
Whether random phenomena exist in nature or not, it is useful to think of the notion of randomness a...
Early work on the frequency theory of probability made extensive use of the notion of randomness, co...
Background. We may ask a number of questions about the nature of the relationship between geometry...
We distinguish the two extreme aspects of the logic of certainty by identifying their corresponding ...
It is necessary to distinguish the logic of certainty from the logic of probable. By fusing together...
In the domain of the logic of certainty we study the objective notions of the subjective probability...
I accept the principles of the theory of concordance into the domain of subjective probability in or...
In this paper we consider general conditional random quantities of the kind X|Y , where X and Y are ...
After a brief review of ontic and epistemic descriptions, and of subjective, logical and statistical...
I realized that it is possible to construct an original and wellorganized theory of multiple random ...
We consider a conception of reality that is the following: An object is 'real' if we know that if we...
Let C be a class of arbitrary real random elements and P an extended real valued function on C. Two ...
A process of construction of subjective probability based on bets introduced by Bruno de Finetti on ...
In this paper we consider imprecise conditional prevision assessments on random quantities with fini...
International audienceWe study a probabilistic version of coherence spaces and show that these objec...
Whether random phenomena exist in nature or not, it is useful to think of the notion of randomness a...
Early work on the frequency theory of probability made extensive use of the notion of randomness, co...
Background. We may ask a number of questions about the nature of the relationship between geometry...