In　this　paper,　the　L　1-norm　estimators　and　the　random　weighted　statistic　for　a　semiparametric　regression　model　are　constructed,　the　strong　convergence　rates　of　estimators　are　obtain　under　certain　conditions,　the　strong　efficiency　of　the　random　weighting　method　is　shown.　A　simulation　study　is　conducted　to　compare　the　L　1-norm　estimator　with　the　least　square　estimator　in　term　of　approximate　accuracy,　and　simulation　results　are　given　for　comparison　between　the　random　weighting　method　and　normal　approximation　method.　©　Springer-Verlag　2005.