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Conference material: "Academician O.B. Lupanov XIV International Scientific Seminar "Discrete Mathematics and Its Applications" (20-25 June 2022, Moscow)"
Authors: Yashunsky A.D.
Clarification of convergence rate of distributions of quasigroup 'sums' of finite random variables
Abstract:
One of the possible generalizations of sums of independent random quantities for the case of operations in a finite set -- quasi-group 'sums' in which instead of the operation summation, quasi-group operations are used on a given finite set. For quasi-group 'sums' containing n independent identically distributed random variables, it is proved exponential in n rate of convergence of distributions to uniform distribution.
Keywords:
quasigroups, random variables
Publication language: russian,  pages: 3 (p. 300-302)
Russian source text:
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About authors:
  • Yashunsky Alexey Dmitrievich,  orcid.org/0000-0002-3297-7444KIAM RAS