On estimation of analytic density in L_p

Details On estimation of analytic density in L_p On estimation of analytic density in L_p

2011-10-10

arxiv.org/abs/1110.1904v1

Mathematics

Statistics Theory

Scientific paper

The problem of estimation of analytic density function using L_p minimax risk
is considered. A kernel-type estimator of an unknown density function is
proposed and the upper bound on its limiting local minimax risk is established.
Our result is consistent with a conjecture of Guerre and Tsybakov (1998) and
augments previous work in this area.

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