%0 Journal Article
%T 一种广义比估计及其性质的研究<br>Approach to a Generalized Ratio Estimator and the Optimality
%A 徐晨
%A 何川
%J Statistics and Applications
%P 895-900
%@ 2325-226X
%D 2019
%I Hans Publishing
%R 10.12677/SA.2019.86101
%X <div style=\"text-align:justify;\">
	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。<br />
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.
</div>
%K 比估计，均方误差，抽样调查<br>Ratio Estimator
%K Mean Square Error
%K Survey Sampling
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=33280