A New Meaning and Role of the Notion of Coherent Prevision of Multiple Random Quantities
DOI:
https://doi.org/10.14738/tmlai.66.5580Keywords:
vector homography, translation, affine tensor, antisymmetric tensor, a-product, a-normAbstract
I accept the principles of the theory of concordance into the domain of subjective
probability in order to construct an original, geometric and well-organized
theory of multiple random quantities. This acceptance is well-founded because the
definition of concordance is implicit as well as the one of prevision of a random
quantity and in particular of probability of an event. I limit myself to considering
no more than two random quantities in this paper. A coherent prevision of a
bivariate random quantity coincides with the notion of a-product. Metric properties
of the notion of a-product mathematically characterize the notion of coherent
prevision of a bivariate random quantity.
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