A law of the iterated logarithm for neighbor-type regression function estimator (Q1207250)
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scientific article; zbMATH DE number 149404
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A law of the iterated logarithm for neighbor-type regression function estimator |
scientific article; zbMATH DE number 149404 |
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A law of the iterated logarithm for neighbor-type regression function estimator (English)
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1 April 1993
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Let \((X,Y)\) be a two-dimensional random variable. A law of the iterated logarithm is established for a smoothed neighbor-type estimator of the regression function \(m(x)=E(Y| X)\) under conditions much weaker than needed for the Nadaraya-Watson estimator. Also, sharp pointwise rates of strong consistency of this estimator are discussed in detail.
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nonparametric regression
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law of the iterated logarithm
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smoothed neighbour-type estimator
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Nadaraya-Watson estimator
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sharp pointwise rates of strong consistency
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