Inthispaper,theL1-normestimatorsandtherandomweightedstatisticforasemiparametricregressionmodelareconstructed,thestrongconvergenceratesofestimatorsareobtainundercertainconditions,thestrongefficiencyoftherandomweightingmethodisshown.AsimulationstudyisconductedtocomparetheL1-normestimatorwiththeleastsquareestimatorintermofapproximateaccuracy,andsimulationresultsaregivenforcomparisonbetweentherandomweightingmethodandnormalapproximationmethod.
