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Limit theorems for sums of independent random variables defined on a nonrecurrent random walk
Let {Xi}i=∞ -∞, {ξi}i=1∞ be two independent sequences of randoms variables, where the ξi are identically distributed and assume integer values. Let In the paper the question of the asymptotic behavior as n → ∞ of the quantity is considered. It is shown that the distribution of Wn converges to the distribution of the normal law and that the ...
A. N. Borodin
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