以提高估计量的精度为目的,定义了一种新的多个辅助变量的回归估计法,从理论上研究了该方法下权的选取方法,并将该方法下的估计量与Raj多辅助变量回归估计量、Ghosh多元线性回归估计量在精度上进行了数值比较,结果表明:这种新的多辅助变量的回归估计法在精度上优于Raj多辅助变量回归估计和Ghosh多元线性回归估计。
With the purpose of improving the accuracy of estimation,new regression estimation was constructed.And it was discussed how to choose the weight wk in the theory.A numerical study was carried out to compare the Raj's regression estimator with multivariate auxiliary and the Ghosh's multivariate linear regression estimator with the new regression estimator.The result shows that the new regression estimation may improve the precision of estimation.