The central limit theorem and the law of iterated logarithm for empirical processes under local conditions (Q1822406)
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scientific article; zbMATH DE number 4003147
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The central limit theorem and the law of iterated logarithm for empirical processes under local conditions |
scientific article; zbMATH DE number 4003147 |
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The central limit theorem and the law of iterated logarithm for empirical processes under local conditions (English)
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1988
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A CLT and LIL are proved under \(weak\)-L\({}_ 2\) Gaussian bracketing conditions (weaker than the usual ones). These results have wide applicability and in particular provide an improvement of the Jain-Marcus central limit theorem for C(S)-valued random variables.
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central limit theorem
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law of iterated logarithm
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empirical processes
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