Abstract
For technical reasons it is convenient for use to conduct the investigation in the space C(T) of continuous functions, defined on the unit circle T. We note that to each random element XeC[0,=] corresponds a random element YeC(T), having the characteristics of the element X, for example, one can set Y(t) = X(]tl). Hence the estimates of proximity of sums of independent random elements obtained in the paper are also applicable to the space C[a, b]. Let R I be the real line with addition as group operation, G be the subgroup of the group
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