Adaptive non-asymptotic confidence balls in density estimation

Details Adaptive non-asymptotic confidence balls in density estimation Adaptive non-asymptotic confidence balls in density estimation

2010-07-26

arxiv.org/abs/1007.4528v1

Mathematics

Statistics Theory

Scientific paper

We build confidence balls for the common density $s$ of a real valued sample
$X_1,...,X_n$. We use resampling methods to estimate the projection of $s$ onto
finite dimensional linear spaces and a model selection procedure to choose an
optimal approximation space. The covering property is ensured for all $n\geq2$
and the balls are adaptive over a collection of linear spaces.

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