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Tauberian theorems for summability transforms. (English) Zbl 1080.60047
The author generalizes the so-called random walk method in summability theory by introducing the convolution summability method, which amounts to allowing a first random variable having a distribution different from those in the remaining sequence; it is tantamount to a delayed random walk. Some strong laws are proved.
MSC:
60G50 Sums of independent random variables; random walks
60F15 Strong limit theorems
40G99 Special methods of summability
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