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arXiv 2010-02-08 2 views

Sharp non-asymptotic oracle inequalities for nonparametric heteroscedastic regression models

Galtchouk, Leonid · Pergamenchtchikov, Serguei

Original · EN

An adaptive nonparametric estimation procedure is constructed for heteroscedastic regression when the noise variance depends on the unknown regression. A non-asymptotic upper bound for a quadratic risk (oracle inequality) is obtained

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