Abstract
Estimates are obtained of the rate of convergence in limit theorems in the max-scheme of independent identically distributed random variables (i.i.d.r.v.'s) under linear and power normalizations, when the maximum is taken over a subsequence of natural numbers {k(n)} satisfying the conditionlim n→∞ k(n+1)/k(n)=r, 1<r<∞.
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