Article collection "Mathematical Problems of Cybernetics" №21, Moscow, 2023
Authors:Yashunsky A.D.
Some aspects of probability on finite quasigroups
Abstract:
We consider transformations of independent random variables by quasigroup operations. We explore the role of non-uniformity measures in the proof of convergence to uniformity and the estimation of convergence rate. We suggest a non-uniformity measure that allows an elementary proof of exponential convergence rate. The results on convergence rate are juxtaposed with known results on transformations of random variables in finited groups.
Keywords:
quasigroup, random variable, non-uniformity, convergence