总体均值的分别比率估计方法改进及应用  

Modified Separate Ratio Estimators of Population Mean and its Application

作　　者：乔松珊[1] 张建军[2] QIAO Song-shan;ZHANG Jian-jun(College of Information and Business Zhongyuan Institute of Technology, Zhengzhou, Henan 450007, China;Collage of Information and Management Science of Henan Agricultural University, Zhengzhou, Hennan 450002, China)

机构地区：[1]中原工学院信息商务学院,郑州450007 [2]河南农业大学信息与管理科学学院,郑州450002

出　　处：《西南师范大学学报（自然科学版）》2019年第5期34-40,共7页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：河南省高等学校重点科研项目(17A110023);河南省软科学研究计划项目(192400410091)

摘　　要：辅助信息可以在抽样设计和估计量设计两个阶段同时使用,在分层抽样下采用排序集样本代替随机样本,以辅助变量的多个指标线性组合为辅助信息,改进了总体均值的分别比率估计方法,计算了估计量的近似偏差和均方误差,比较了两种不同抽样方法下比率估计的精度.结果表明,改进的分别比率估计均方误差较小.最后借助随机模拟和算例分析进一步验证了结论的可靠性.Auxiliary information can be used in sampling design and estimation design. In this paper, with ranked set samples instead of the random samples in stratified sampling, we have proposed the new separate ratio estimators of population mean based on linear Combination of Multiple Indexes of Auxiliary Variable. We have obtained the bias and mean squared error of the proposed estimators and compared the estimated accuracy of new separate ratio estimators with traditional separate ratio estimators. The results are supported by stochastic simulation and numerical example.

关 键 词：分层排序集抽样 偏斜系数 变异系数 分别比率估计 有效性 

分 类 号：O212.1[理学—概率论与数理统计]