"Consistency of phi-Divergence Errors of Barron Density Estimates" . "1"^^ . "Jozef Stefan Institute" . . . "Consistency of phi-Divergence Errors of Barron Density Estimates"@en . "1"^^ . . "2005-10-04+02:00"^^ . . "961-6303-74-0" . . . "Izola-Simon zaliv" . . . "6"^^ . "In this contribution we are interested in the asymptotic properties of the Barron estimator if its error is measured by f-divergences with the true density for a general class of functions f. In quantized models leading to reduced f-divergences we prove the consistency of this estimator in the reduced f-divergence and in the expected reduced f-divergence. Further, we formulate conditions under which it is possible to extend the obtained results also to the original non-quantized models. Our conditions and results are then compared with those of Berlinet et al. (1998)." . . "Ljubjana" . . "Z(MSM 210000018)" . . "In this contribution we are interested in the asymptotic properties of the Barron estimator if its error is measured by f-divergences with the true density for a general class of functions f. In quantized models leading to reduced f-divergences we prove the consistency of this estimator in the reduced f-divergence and in the expected reduced f-divergence. Further, we formulate conditions under which it is possible to extend the obtained results also to the original non-quantized models. Our conditions and results are then compared with those of Berlinet et al. (1998)."@en . "RIV/68407700:21340/05:00117065" . . . "[F0271BE322BD]" . "Consistency of phi-Divergence Errors of Barron Density Estimates"@en . "Hobza, Tom\u00E1\u0161" . . . . "RIV/68407700:21340/05:00117065!RIV13-MSM-21340___" . "Histogram estimate; Barron density estimate; divergences; consistency"@en . "Consistency of phi-Divergence Errors of Barron Density Estimates" . "21340" . . "Proceedings of the 6th International PhD Workshop on Systems and Control a Yang Generation Viewpoint" . "516227" .