A note on the adaptive estimation of a multiplicative separable regression function (Q469915)
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scientific article; zbMATH DE number 6368342
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the adaptive estimation of a multiplicative separable regression function |
scientific article; zbMATH DE number 6368342 |
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A note on the adaptive estimation of a multiplicative separable regression function (English)
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11 November 2014
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Summary: We investigate the estimation of a multiplicative separable regression function from a bidimensional nonparametric regression model with random design. We present a general estimator for this problem and study its mean integrated squared error (MISE) properties. A wavelet version of this estimator is developed. In some situations, we prove that it attains the standard unidimensional rate of convergence under the MISE over Besov balls.
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