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Article collection "Mathematical Problems of Cybernetics" №21, Moscow, 2023
Authors: Yashunsky A.D.
Some aspects of probability on finite quasigroups
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.
quasigroup, random variable, non-uniformity, convergence
Publication language: russian,  pages: 12 (p. 194-205)
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About authors:
  • Yashunsky Alexey Dmitrievich,