A Note on the Adaptive Estimation of a Multiplicative Separable Regression Function | Zendy

Christophe Chesneau | Zendy

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A Note on the Adaptive Estimation of a Multiplicative Separable Regression Function

Author(s) -

Christophe Chesneau

Publication year - 2014

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.1155/2014/271303

Subject(s) - estimator , multiplicative function , mathematics , nonparametric regression , separable space , mean squared error , regression function , nonparametric statistics , function (biology) , regression , statistics , mathematical analysis , evolutionary biology , biology

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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