Chen, JiaZhang, Lixin2010-08-122010-08-122010Metrika, 2010; 71(3):319-3400026-1335http://hdl.handle.net/2440/59726We investigate the local linear M-estimation for regression in a fixed-design model when the errors are from a strongly mixing random field. We establish the weak and strong consistency as well as the asymptotic normality of the local linear M-estimator. The conditions on ρ(·) used in this paper are mild and allow many important special cases such as the least square estimator and the least absolute distance estimator.en© Springer-Verlag 2009Asymptotic normality; Consistency; Fixed-design model; Local linear M-estimator; Strongly mixing random fieldsJournal article002009583610.1007/s00184-009-0233-80002756583000052-s2.0-77952092698