Geodesic
Multidimensional and abstract probability
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Stochastic calculus, martingales, and their applications, Tome 287 (2014), pp. 182-210

Voir la notice de l'article provenant de la source Math-Net.Ru

Abstract probabilities are introduced as semiring algebraic structures that retain several properties of classical probabilities taking values in the real number interval $[0,1]$. Compact probabilities and random variables with such probabilities are mainly studied. Analogs of the Borel–Cantelli lemma and of the law of large numbers are considered. New notions of superposition of probability spaces and superposition of random variables arise on the basis of the Cartesian product of abstract probabilities. 
@article{TM_2014_287_a10,
     author = {V. M. Maximov},
     title = {Multidimensional and abstract probability},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {182--210},
     publisher = {mathdoc},
     volume = {287},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2014_287_a10/}
}
TY  - JOUR
AU  - V. M. Maximov
TI  - Multidimensional and abstract probability
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2014
SP  - 182
EP  - 210
VL  - 287
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2014_287_a10/
LA  - ru
ID  - TM_2014_287_a10
ER  - 
%0 Journal Article
%A V. M. Maximov
%T Multidimensional and abstract probability
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2014
%P 182-210
%V 287
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2014_287_a10/
%G ru
%F TM_2014_287_a10
V. M. Maximov. Multidimensional and abstract probability. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Stochastic calculus, martingales, and their applications, Tome 287 (2014), pp. 182-210. http://geodesic.mathdoc.fr/item/TM_2014_287_a10/