The almost sure behavior of the oscillation modulus of the multivariate empirical process (Q1102664)
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scientific article; zbMATH DE number 4050782
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The almost sure behavior of the oscillation modulus of the multivariate empirical process |
scientific article; zbMATH DE number 4050782 |
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The almost sure behavior of the oscillation modulus of the multivariate empirical process (English)
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1987
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The paper contains several almost sure convergence results for the oscillation modulus of multivariate empirical processes, depending on the rate at which the bandwidths tend to zero. The method of proof follows classical lines: Poissonization, application of maximal (exponential) inequalities, subsequences, Borel-Cantelli.
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density estimation
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multivariate spacings
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almost sure convergence results
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oscillation modulus of multivariate empirical processes
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