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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 1995 Volume 40, Issue 3, Pages 654–657 (Mi tvp3463)

Short Communications

The rate of convergence in limit theorems for max-semistable laws

I. V. Grinevich

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: Estimates 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 $k(n)$ are obtained.

Keywords: max-semistable law, linear and power normalizations, rate of convergence, ideal metric, the method of metric distances, convolutions method, regular estimate.

Received: 15.11.1993


 English version:
Theory of Probability and its Applications, 1995, 40:3, 546–549

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© Steklov Math. Inst. of RAS, 2024