0410829 20240103182242.220060210235959.9 27 s. 111 (2002)191-217 Barron-type density estimators consistency in expected information divergence consistency in expected chi-squared-divergence cav_un_auth*0212817 Beirlant J. BE cav_un_auth*0212436 Berlinet A. FR cav_un_auth*0212915 Biau G. FR cav_un_auth*0101218 Vajda Igor UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. 12B GA102/99/1137 GA ČR cav_un_auth*0004432 CEZ:AV0Z1075907 Barron-type estimators are histogram-based distribution estimators that have been proved to have good consistency properties according to several information theoretic criteria. However they are not continuous. In this paper, we examine a new type estimators with the frequency polygon. We prove the consistency of these estimators in expected information divergence and expected chi-squared-divergence. For one of them we evaluate the rate of convergence in expected chi-squared-divergence. BB SI http://hdl.handle.net/11104/0130916 UTIA-B 20020043 2002 Test Roč. 11 č. 1 2002 191 217