## Estimates in the laws of large numbers for regular summation methods.(Russian)Zbl 1022.60027

Summary: A class of regular summation methods is studied which contains such methods as Abel method, Cesaro method, Borel method, Euler method, etc. For weighted sums with weights from the class under study, estimates are obtained for the laws of large numbers in terms of convergence of integrals of the probability of large deviation. The asymptotic behavior of these integrals is studied with respect to a small parameter.

### MSC:

 60F15 Strong limit theorems 60E15 Inequalities; stochastic orderings
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