Geodesic
Algebras of probability distributions on finite sets
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis, mathematical physics, and applications, Tome 301 (2018), pp. 320-335

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

We consider the problems of transforming random variables over finite sets by discrete functions. We describe the problems of exact and approximate expression of random variables as functions of other random variables from the point of view of universal algebra and provide a review of results in the area. Sufficient conditions are obtained for a system of transforming functions to allow the approximation of an arbitrary probability distribution on a finite set using a given nondegenerate initial distribution. 
@article{TM_2018_301_a21,
     author = {A. D. Yashunsky},
     title = {Algebras of probability distributions on finite sets},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {320--335},
     publisher = {mathdoc},
     volume = {301},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2018_301_a21/}
}
TY  - JOUR
AU  - A. D. Yashunsky
TI  - Algebras of probability distributions on finite sets
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2018
SP  - 320
EP  - 335
VL  - 301
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2018_301_a21/
LA  - ru
ID  - TM_2018_301_a21
ER  - 
%0 Journal Article
%A A. D. Yashunsky
%T Algebras of probability distributions on finite sets
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2018
%P 320-335
%V 301
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2018_301_a21/
%G ru
%F TM_2018_301_a21
A. D. Yashunsky. Algebras of probability distributions on finite sets. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis, mathematical physics, and applications, Tome 301 (2018), pp. 320-335. http://geodesic.mathdoc.fr/item/TM_2018_301_a21/