0411027 20240103182256.620060210235959.9 Budapest Janos Bolyai Mathematical Society 2002 13 s. 175-187BerkesI.CsakiE.CsorgoM. Kernel type estimators gradual changes cav_un_auth*0213004 Horvath L. US cav_un_auth*0101112 Hušková Marie UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. 12B GA201/97/1163 GA ČR cav_un_auth*0005896 CEZ:AV0Z1075907 Kernel type estimators of gradual changes in a location model with independent error terms are proposed and their limit properties are studied. It is assumed that the slope that characterizes the gradual change is small. The forms of the limit distributions depend on the behavior of the kernel at the end points. Particularly, we get that either the argmax of a two-sided Brownian motion with polynomial drift is a posible limit of the normal distribution. cav_un_auth*0213005 Limit Theorems in Probability and Statistics Balatonlelle HU 28.06.1999-02.07.1999 BB SI http://hdl.handle.net/11104/0131114 UTIA-B 20030014 2002 2002 Budapest Janos Bolyai Mathematical Society Limit Theorems in Probability and Statistics 175 187 Berkes I. 340 Csaki E. 340 Csorgo M. 340