分层排序集抽样下的比率估计问题探讨  

Discussion on Ratio Estimation of Hierarchical Ranked Set Sampling

作　　者：陈晓旭[1] 朱永忠[1] 

机构地区：[1]河海大学理学院,南京211100

出　　处：《统计与决策》2017年第20期15-18,共4页Statistics & Decision

基　　金：国家自然科学基金资助项目(50979029)

摘　　要：分层排序集抽样是指将分层抽样与排序集抽样结合起来,运用分层技术将总体分为多层,再在每层中用排序集抽样获取样本。分层比率估计是利用辅助信息,构造总体均值或总值的估计量,分为联合比率估计和分别比率估计。文章利用此思路得到下分层排序集抽样下总体均值的分别比率估计,并和分层排序集抽样下的联合比率估计、分层随机抽样下的分别比率估计进行比较。结果表明,分层排序集抽样下总体均值的分别比率估计比分层随机抽样下总体均值的分别比率估计效果好,分层排序集抽样下总体均值的联合比率估计比分层排序集抽样下总体均值的分别比率估计效果好。Hierarchical ranked set sampling refers to the combination of ranked set sampling with hierarchical sampling, and dividing the population into multi layers through layering technology, and then using ranked set to acquire samples from each lay- er. Hierarchical ratio estimation means using auxiliary information to construct the estimator of population mean or the total value, and it includes combined ratio estimation and respective ratio estimation. This paper utilizes this idea to get the respective ratio es- timation of the population mean under the hierarchical ranked set sampling, and compare it with the combined ratio estimator un- der the hierarchical ranked set sampling and respective ratio estimation under the hierarchical random sampling. The study results show that the respective ratio estimation of the population mean under the hierarchical ranked set sampling is more efficient than respective ratio estimation under the hierarchical random sampling, and that the combined ratio estimation under the hierarchical ranked set sampling is more efficient than respective ratio estimation of the population mean under the hierarchical ranked set sampling.

关 键 词：分层随机抽样 分层排序集抽样 分别比率估计 联合比率估计 

分 类 号：O212.2[理学—概率论与数理统计]