分层抽样下定量特征敏感性随机化模型的比估计法  

The Ratio Estimator of Quantitative Sensitive Randomized Model under Stratified Sampling

作　　者：刘媛媛[1] 闫在在[2] 吕雄[1] 解云[1] 冀鹏浩[1] LIU Yuan-yuan;YAN Zai-zai;LV Xiong;XIE Yun;JI Peng-hao(College of Science,Inner Mongolia Agricultural University,Hohhot 010018,China;College of Science,Inner Mongolia University of Technology,Hohhot 010051,China)

机构地区：[1]内蒙古农业大学理学院,内蒙古呼和浩特010018 [2]内蒙古工业大学理学院,内蒙古呼和浩特010051

出　　处：《数学的实践与认识》2019年第24期179-185,共7页Mathematics in Practice and Theory

基　　金：内蒙古自治区自然科学基金项目(2017MS0121);内蒙古农业大学基础学科科研启动基金项目(JC2015001)

摘　　要：基于定量特征敏感性随机化模型中的Eichhorn and Hayre模型,运用分别比估计法和联合比估计法对其总体均值作估计,并对两种方法下的估计量进行效率比较.结果表明:若各层的样本量比较大,各层的比估计比较有效,则分别比估计法的精度要优于联合比估计法.Separate ratio estimator and combined ratio estimator are employed to estimate population mean of Eichhorn and Hayre model,and the estimator efficiency of the two methods is also compared.The result shows that the precision of separate ratio estimator is better than that of combined ratio estimator,provided the sample size of each stratum is relatively large and the ratio estimator is effective met hod.

关 键 词：Eichhorn and Hayre模型 分别比估计法 联合比估计法 效率比较 

分 类 号：O212.2[理学—概率论与数理统计]