一种广义比估计及其性质的研究

Approach to a Generalized Ratio Estimator and the Optimality

抽样调查中比估计是一种可以提高抽样精度的估计方法,本文在一般比估计基础之上提出一种广义比估计方法,并说明一般比估计方法只是广义比估计方法的特例。接着本文中讨论了广义比估计的最优值及其估计量的优良性,最后本文中讨论了一个实际应用实例。

Ratio estimation of population totals is one of the oldest uses of auxiliary information in survey sampling. A new generalized ratio estimator is proposed in this article, and the usual ratio esti-mator is a special case of the new generalized ratio estimator. Then this article discusses under what circumstances, the mean squared error is minimum. Also the minimum mean squared error is derived. Finally, a meaningful application is given.