0411009 20240103182255.320060210235959.9 17 s. cav_un_epca*02971960041-9184343 (2002)3-19 nonparametric density estimation histogram piecewise linear histogram cav_un_auth*0212436 Berlinet A. FR cav_un_auth*0101108 Hobza Tomáš UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. 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 In a recent paper we have extended the concept of piecewise linear histogram (PLH) introduced by Beirlant, Berlinet and Gyorfi. The disadvantage of the PLH is that, in many models with probability closed to 1, it takes on negative values with probability close to one. We have shown that for all models satisfying mild assumptions, the class of our generalized piecewise linear histograms (GPLH's) contains a bona fide density with probability tending to 1 as the sample size n increases to infinity. BB SI http://hdl.handle.net/11104/0131096 UTIA-B 20020223 2002 cav_un_epca*0297196 Publications de l'Institut de Statistique de l'Universite de Paris 0041-9184 Roč. 34 č. 3 2002 3 19