Almost sure invariance principles for the empirical process of lacunary sequences (Q1819459)
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scientific article; zbMATH DE number 3992538
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Almost sure invariance principles for the empirical process of lacunary sequences |
scientific article; zbMATH DE number 3992538 |
Statements
Almost sure invariance principles for the empirical process of lacunary sequences (English)
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1987
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Let R(s,t) be the empirical process of a lacunary sequence. In this paper we give an almost sure approximation of R(s,t) by a Kiefer process under various lacunarity conditions.
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invariance principles
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empirical process of a lacunary sequence
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lacunarity conditions
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0.8970403
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0.89403284
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0.8915674
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0.8883036
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