基于排序集样本和辅助变量中位数的均值比率估计方法  

The Ratio Estimation of the Population Mean Based on Ranked Set Sample and Median of the Auxiliary Variable

作　　者：乔松珊[1] 张建军[2] 孙成金[2] 

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

出　　处：《统计与信息论坛》2016年第7期11-15,共5页Journal of Statistics and Information

基　　金：河南省高等学校青年骨干教师资助项目<辅助信息在分层比率估计中的应用研究>(2014GGJS-158);河南省教育厅科学技术研究重点项目<排序集样本在分层抽样中的应用模型与方法研究>(13B110057)

摘　　要：排序集抽样下利用辅助变量中位数构建了总体均值的改进比率估计模型,分析了该比率估计量的偏差和均方误差,并与简单随机抽样下的比率估计比较,证明了改进后的比率估计均方误差更小。以农作物播种面积和产量为研究对象进行实例分析,研究表明,基于排序集样本和辅助变量中位数的比率估计方法可以有效提高估计精度,验证了该构造方法的可行性。The paper deals with a new ratio estimator of population mean based on ranked set sample when the median of auxiliary variable is known.The mean squared error and bias of the proposed estimate are derived.It is proved that the modified estimator under ranked set sampling is more efficient than the ratio estimate under simple random sampling.Finally,a practical application about the area and yield of crops is analyzed.From the numerical study it is observed that the new ratio estimator using ranked set sample and median of the auxiliary variable improve the precision of estimation effectively,It is also showed that the proposed modified ratio estimator is feasibility.

关 键 词：辅助变量 中位数 排序集样本 比率估计 

分 类 号：O212.2[理学—概率论与数理统计] F301.24[理学—数学]