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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
Publication language: russian,  pages: 12 (p. 194-205)
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About authors:
  • Yashunsky Alexey Dmitrievich,  orcid.org/0000-0002-3297-7444