Geodesic
Algebras of probability distributions on finite sets
Informatics and Automation, 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{TRSPY_2018_301_a21,
     author = {A. D. Yashunsky},
     title = {Algebras of probability distributions on finite sets},
     journal = {Informatics and Automation},
     pages = {320--335},
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     volume = {301},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2018_301_a21/}
}
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A. D. Yashunsky. Algebras of probability distributions on finite sets. Informatics and Automation, Complex analysis, mathematical physics, and applications, Tome 301 (2018), pp. 320-335. http://geodesic.mathdoc.fr/item/TRSPY_2018_301_a21/