0410382 20240103182210.220060210235959.9 Necessary and sufficient conditions for consistency of M-estimates in regression models with general errors 25 s. cav_un_epca*02571160378-3758Journal of Statistical Planning and Inference89243-267Elsevier cav_un_auth*0212436 Berlinet A. FR cav_un_auth*0015549 Liese F. DE 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 AV0Z1075907 From consistency results on estimators asymptotically minimizing a general criterion, we derive necessary and sufficient conditions for the convergence of approximate M-estimators in nonlinear regression models with nonstationary and/or dependent errors. Special attention is paid to models with errors satisfying the law of large numbers. BB SI http://hdl.handle.net/11104/0130471 UTIA-B 20000098 2000 cav_un_epca*0257116 Journal of Statistical Planning and Inference 0378-3758 1873-1171 Roč. 89 1/2 2000 243 267 Elsevier