基于排序集样本和双辅助变量的比率估计改进方法  

Improved ratio estimators based on ranked set sample and two auxiliary variables

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

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

出　　处：《西北师范大学学报（自然科学版）》2018年第4期16-21,共6页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(31701309);河南省高等学校重点科研计划资助项目(17A110023)

摘　　要：基于排序集样本和双辅助变量建立总体均值的改进比率估计量,研究了估计量的偏差和均方误差,并从理论上比较了两种抽样方法下的估计效率,最后借助随机模拟和实际例子分析了比率估计方法的有效性.结果表明,利用双辅助变量的改进比率估计精度明显高于简单随机抽样或者单辅助变量比率估计.The paper proposes an improved radio estimator of population mean based on ranked set sample and two auxiliary variables,the mean square error and bias of estimators are obtained and the efficiency of estimators are compared theoretically between ranked set sample and random sample.Finally,it is identified through data examples and simulation studies that the ratio estimators using ranked set sample and two auxiliary variables are more efficient than the ratio estimators using random sampling or one auxiliary variable.

关 键 词：排序集抽样 双辅助变量 总体均值 比率估计 均方误差 

分 类 号：O212.2[理学—概率论与数理统计]