A universal result in almost sure central limit theory. (Q1888771)
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scientific article; zbMATH DE number 2119510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A universal result in almost sure central limit theory. |
scientific article; zbMATH DE number 2119510 |
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A universal result in almost sure central limit theory. (English)
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26 November 2004
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The paper presents results generalizing the almost sure central limit theorem in several ways. The weights in formula are relaxed, the considered functions of observations are allowed general such that sum and/or maximum became examples, only, and an arbitrary distribution function can serve as the limit instead of Gaussian one. The paper finishes with interesting consequences for random walks, U-statistics, Kolmogorov-Smirnov statistics, etc.
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almost sure central limit theorem
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logarithmic averages
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summation methods
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