基于变异系数的最优估计量及性质的研究
Research on Optimal Estimation and Properties Based on Coefficient of Variation
DOI: 10.12677/AAM.2022.1111829, PDF,    国家自然科学基金支持
作者: 徐 晨, 常桂松：东北大学理学院数学系，辽宁 沈阳；吴文彬：抚顺新钢铁有限责任公司智造中心，辽宁 抚顺
关键词: 抽样调查；变异系数；最优估计；Survey Sampling； Coefficient of Variation； Oprimal Estimation
摘要: 讨论调查变量的最优估计，一直是抽样调查中的重要研究课题。首先本文在一般简单估计基础上提出广义均值估计的定义，其中一般简单估计可以看作是广义均值估计的特例，接着讨论广义均值估计的最优估计量与最优估计量的设计效率，最后通过一个实例计算广义均值估计的最优估计值。
Abstract: Discussing the optimal estimation of survey variables has always been an important research topic in survey sampling. Firstly, a generalized mean estimator based on the general simple estimator is defined in this article, and the general simple estimator is a special case of the generalized mean estimator. Then the optimal estimator and the design efficiency of the generalized mean estimator are discussed. Finally, an example is given to calculate the optimal estimator of generalized mean estimator.
文章引用：徐晨, 常桂松, 吴文彬. 基于变异系数的最优估计量及性质的研究[J]. 应用数学进展, 2022, 11(11): 7844-7849. https://doi.org/10.12677/AAM.2022.1111829

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