TY - THES
A1 - Kabajah, Hani
T1 - Local Smoothers with Regularization
N2 - Mrázek et al. [25] proposed a unified approach to curve estimation which combines localization and regularization. Franke et al. [10] used that approach to discuss the case of the regularized local least-squares (RLLS) estimate. In this thesis we will use the unified approach of Mrázek et al. to study some asymptotic properties of local smoothers with regularization. In particular, we shall discuss the Huber M-estimate and its limiting cases towards the L2 and the L1 cases. For the regularization part, we will use quadratic regularization. Then, we will define a more general class of regularization functions. Finally, we will do a Monte Carlo simulation study to compare different types of estimates.
N2 - Lokale Glätter mit Regularisierung
KW - Local smoothing
KW - Robust smoothing
KW - Regularization methods
Y1 - 2010
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/2191
UR - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hbz:386-kluedo-24923
ER -