An invariance principle for reduced U-statistics (Q1084794)
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scientific article; zbMATH DE number 3980239
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An invariance principle for reduced U-statistics |
scientific article; zbMATH DE number 3980239 |
Statements
An invariance principle for reduced U-statistics (English)
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1986
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The reduced U-statistics are considered. After suitable normalization a random element of the Skorokhod space D[0,1] is obtained. Sufficient conditions for tightness and weak convergence of \(\{W_ n\}\) to a Gaussian random element of D[0,1] are given.
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invariance principle
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reduced U-statistics
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Skorokhod space
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Sufficient conditions
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tightness
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weak convergence
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