分层随机抽样中R的联合比估计量的可用性及均方误差的估计量

USABILITY OF THE COMBINED RATIO ESTIMATOR AND ESTIMATE OF MEAN SQUARE ERRORS OF THIS ESTIMATOR IN STRATIFIED RANDOM SAMPLING

  • 摘要: 本文从一个实际课题出发给出了分层随机抽样中R的联合比估计量\hatR_\mathrmo的偏倚B(\hatR_\mathrmo)和均方误差MSE(\hatR_\mathrmo)的表达式,证明了估计量\hatR_\mathrmo是可用的,并给出了MSE(\hatR_\mathrmo)的估计量与MSE(\hatR_\mathrmo)的主要部分的偏倚的阶。最后列出了一些实际的计算结果。

     

    Abstract: In this paper, expressions of bias B(\hatR_\mathrmo) and mean squre errors MSE (\hatR_\mathrmo) of the combined ratio estimator \hatR_\mathrmo in stratified, random sampling have been got, usability of this estimator has been proved, and the order of bias between this estimator and primary part of MSE (\hatR_\mathrmo) has been given. These problems come from a real back ground. Finaly, some practical computable results have been listed.

     

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