Convergence of self-normalized generalized \(U\)-statistics (Q1187531)
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scientific article; zbMATH DE number 39427
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of self-normalized generalized \(U\)-statistics |
scientific article; zbMATH DE number 39427 |
Statements
Convergence of self-normalized generalized \(U\)-statistics (English)
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22 July 1992
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Weak and strong limit theorems are given for convergence of self- normalized \(U\)-statistics. The selfnormalization is based on the \(L_ p\)-norms of the sums in the rows of the double array forming the \(U\)- statistics. The stable case and other versions are considered.
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strong law of large numbers
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weak and strong limit theorems
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self- normalized \(U\)-statistics
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