Rates of clustering in the Strassen law for random polygons (Q1291968)
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scientific article; zbMATH DE number 1300649
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rates of clustering in the Strassen law for random polygons |
scientific article; zbMATH DE number 1300649 |
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Rates of clustering in the Strassen law for random polygons (English)
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13 July 1999
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The authors investigate the rate of convergence in Strassen's functional law of the iterated logarithm. For the continuous version of the partial sum process obtained by linearization a moment condition is shown to be necessary and sufficient for the convergence rate being a power \(\beta<2/3\) of \(\log\log n\). In the limiting case (\(\beta=2/3\)) additional conditions on the tail behaviour are required.
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law of the iterated logarithm
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rate of convergence
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partial sum process
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