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.