On improving distribution function estimators which are not monotonic functions (Q1085544)
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scientific article; zbMATH DE number 3982286
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On improving distribution function estimators which are not monotonic functions |
scientific article; zbMATH DE number 3982286 |
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On improving distribution function estimators which are not monotonic functions (English)
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1987
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We consider the problem of correcting distribution function estimators which are not nondecreasing functions (for example kernel type estimators). The method is based on the orthogonal projection in \(L_ 2\) and guarantees improving of the integrated mean square error for each sample size.
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asymptotic deficiency
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distribution function estimators
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kernel type estimators
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orthogonal projection
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integrated mean square error
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