Nonparametric orthogonal series estimators of regression: A class attaining the optimal convergence rate in \(L_ 2\) (Q1083791)
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scientific article; zbMATH DE number 3978139
| Language | Label | Description | Also known as |
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| English | Nonparametric orthogonal series estimators of regression: A class attaining the optimal convergence rate in \(L_ 2\) |
scientific article; zbMATH DE number 3978139 |
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Nonparametric orthogonal series estimators of regression: A class attaining the optimal convergence rate in \(L_ 2\) (English)
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1987
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In this note a class of nonparametric orthogonal series type estimators for regression function fitting is considered. Sufficient conditions are given for the estimators to attain the optimal convergence rate in the mean integrated square error sense. Using results from the theory of numerical integration, examples of estimators are given, for which the above mentioned conditions hold.
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nonparametric orthogonal series type estimators
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regression function fitting
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optimal convergence rate
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mean integrated square error
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