Mathematics – Statistics Theory
Scientific paper
2008-04-10
Mathematics
Statistics Theory
Scientific paper
The paper deals with asymptotic properties of the adaptive procedure proposed
in the author paper (2007) for estimation of unknown nonparametric regression.
We prove that this procedure is asymptotically efficient for a quadratic risk.
It means that the asymptotic quadratic risk for this procedure coincides with a
sharp lower bound.
Galtchouk Leonid
Pergamenshchikov Serguey
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