Ranked set sampling and randomized response procedures for estimating the mean of a sensitive quantitative character

Ranked set sampling and randomized response procedures for estimating the mean of a sensitive quantitative character
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用于估计敏感定量特征平均值的排序集抽样和随机响应程序

DOI:
10.1007/s00184-008-0191-6
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发表时间:
2009
期刊:
影响因子:
0.7
通讯作者:
C. Bouza
C. Bouza
中科院分区:
数学4区
文献类型:
--
作者:
C. Bouza

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本文对一个敏感变量的均值估计进行了分析。随机回答(RR)程序的使用使受访人员相信他的隐私受到保护。我们认为,样本的选择采用简单的随机抽样和替代设计。当使用排序集抽样时,RR过程的行为是在三个不同的排序标准下开发的。与使用排序集合抽样相关联的通常的精度增益仅通过其中一个设计来展示。模型的行为是通过对艾滋病感染者样本的研究提供的数据来说明的。
This paper is devoted to the analysis of the estimation of the mean of a sensitive variable. The use of a randomized response (RR) procedure gives confidence to the interviewed that his privacy is protected. We consider that a simple random sampling with replacement design is used for selecting a sample. The behavior of the RR procedure, when ranked set sampling is the design used, is developed under three different ranking criteria. The usual gain in accuracy associated with the use of ranked set sampling is exhibited only by one of the designs. The behavior of the models is illustrated using data provided by a study of samples of persons infected with AIDS.