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Large Deviations Behavior for the Quadratic Error of Density Estimate
Authors:Alfredas Račkauskas
Institution:(1) Vilnius University, Naugarduko 24, LT-2006 Vilnius, and;(2) Institute of Mathematics and Informatics, Akademijos 4, LT-2600 Vilnius, Lithuania. e-mail
Abstract:For a projection estimator fn of an unknown density f we investigate the behavior of large deviations probability P{Tn > rn} when rn rarr infin, where Tn is appropriately centered and normed quadratic error fn-f)2.
Keywords:large deviations probabilities  central limit theorem  density estimate
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