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Dear all,

It is a great pleasure to announce that Roger Koenker (UCL) will give a talk in the Statistics Seminar at Imperial College London.

Date and venue: Friday, 26 October, 2–3pm, Imperial College London, Huxley Building 130 (180 Queen’s Gate, London SW7 2AZ), Level 1.

Title: Shape Constrained Density Estimation via Penalized Renyi Divergence

Abstract:

Shape constraints play an increasingly prominent role in nonparametric
function estimation. While considerable recent attention has been
devoted to log concavity as a regularizing device in nonparametric
density estimation, weaker forms of concavity constraints encompassing
larger classes of densities have received less attention but offer
some additional flexibility. Heavier tail behavior and sharper modal
peaks are better adapted to such weaker concavity constraints. When
paired with appropriate maximal entropy estimation criteria these
weaker constraints yield tractable, convex optimization problems that
broaden the scope of shape constrained density estimation in a variety
of applied subject areas.



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