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