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Teoriya Veroyatnostei i ee Primeneniya, 1995, Volume 40, Issue 3, Pages 654–657
(Mi tvp3463)
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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
Citation:
I. V. Grinevich, “The rate of convergence in limit theorems for max-semistable laws”, Teor. Veroyatnost. i Primenen., 40:3 (1995), 654–657; Theory Probab. Appl., 40:3 (1995), 546–549
Linking options:
https://www.mathnet.ru/eng/tvp3463 https://www.mathnet.ru/eng/tvp/v40/i3/p654
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Statistics & downloads: |
Abstract page: | 148 | Full-text PDF : | 45 | First page: | 11 |
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