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SUMMARY:Non-parametric density estimation - Andre Kueh
DTSTART:20111027T140000Z
DTEND:20111027T150000Z
UID:TALK33892@talks.cam.ac.uk
CONTACT:Elena Yudovina
DESCRIPTION:Let X_1\, X_2... X_n be data from an unknown density f on a fi
 xed closed compact interval which contains a point x_0. For some m fixed\,
  we assume that the first m derivatives of f are known to be bounded. We w
 ill then show that we have an estimate f_n such that the expected value of
  |f_n(x_0) - f(x_0)| is less than some constant (which does not depend on 
 n) multiplied by n^{-m/(2m+1)}. We will also show that this is minimax opt
 imal over all densities where the first m derivatives of f are bounded.
LOCATION:CMS\, MR9
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