一种广义比估计及其性质的研究
Approach to a Generalized Ratio Estimator and the Optimality
DOI: 10.12677/SA.2019.86101, PDF,  被引量    科研立项经费支持
作者: 徐 晨, 何 川：东北大学理学院数学系，辽宁 沈阳
关键词: 比估计；均方误差；抽样调查；Ratio Estimator； Mean Square Error； Survey Sampling
摘要: 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。
Abstract: 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.
文章引用：徐晨, 何川. 一种广义比估计及其性质的研究[J]. 统计学与应用, 2019, 8(6): 895-900. https://doi.org/10.12677/SA.2019.86101

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