Abstract

In this paper, when the population is composed of several strata, we deal with the problem of stratified estimation for sensitive attribute by applying the stratified random sampling to the Yennum, Sedory, and Singh (2020 Yennum, N. , S. A.Sedory, and S.Singh . 2020. Improved strategy to collect sensitive data by using negative binomial and negative hypergeometric distribution as randomization devices. Communications in Statistics - Theory and Methods . Advance online publication. doi:10.1080/03610926.2020.1777565.[Taylor & Francis Online], [Web of Science ®] , [Google Scholar]) model. In Yennum, Sedory, and Singh (2020 Yennum, N. , S. A.Sedory, and S.Singh . 2020. Improved strategy to collect sensitive data by using negative binomial and negative hypergeometric distribution as randomization devices. Communications in Statistics - Theory and Methods . Advance online publication. doi:10.1080/03610926.2020.1777565.[Taylor & Francis Online], [Web of Science ®] , [Google Scholar]) study, they considered the negative binomial and negative hypergeometric distribution as randomization devices. When the size of each stratum was exactly known, the sensitive attribute was estimated by stratification, and the proportional and optimal allocations were examined as a method of allocating samples to each stratum. Also, in case of not knowing the size of each stratum, the sensitive attribute was estimated by using two phase sampling design, and the method of allocating samples to each stratum was also examined. Also, the efficiency between the proposed stratified model of Yennum, Sedory, and Singh (2020 Yennum, N. , S. A.Sedory, and S.Singh . 2020. Improved strategy to collect sensitive data by using negative binomial and negative hypergeometric distribution as randomization devices. Communications in Statistics - Theory and Methods . Advance online publication. doi:10.1080/03610926.2020.1777565.[Taylor & Francis Online], [Web of Science ®] , [Google Scholar]) and the existing model of Yennum, Sedory, and Singh (2020 Yennum, N. , S. A.Sedory, and S.Singh . 2020. Improved strategy to collect sensitive data by using negative binomial and negative hypergeometric distribution as randomization devices. Communications in Statistics - Theory and Methods . Advance online publication. doi:10.1080/03610926.2020.1777565.[Taylor & Francis Online], [Web of Science ®] , [Google Scholar]) was compared by numerical study for the different choice parameters.

摘要

在本文中，当人口由几个阶层组成时，我们通过对Yennum，Sedory和Singh（2020年）进行分层随机抽样来处理敏感属性的分层估计问题 Yennum，N. ，SA Sedory和S. Singh。2020年。利用负二项式和负超几何分布作为随机装置改进收集敏感数据的策略。统计中的交流-理论与方法。提前在线发布。doi：10.1080 / 03610926.2020.1777565。[Taylor＆Francis Online]，[Web of Science®]  ，[Google Scholar]模型。在Yennum，Sedory和Singh（2020 Yennum，N. ，SA Sedory和S. Singh。2020年。利用负二项式和负超几何分布作为随机装置改进收集敏感数据的策略。统计中的交流-理论与方法。提前在线发布。doi：10.1080 / 03610926.2020.1777565。[Taylor＆Francis Online]，[Web of Science®]  ，[Google Scholar]）研究中，他们将负二项式和负超几何分布视为随机分配设备。当每个层的大小完全已知时，通过分层来估计敏感属性，并检查比例分配和最佳分配，作为将样本分配给每个层的方法。另外，在不知道每个层的大小的情况下，通过使用两阶段采样设计来估计敏感属性，并且还研究了将样本分配给每个层的方法。此外，建议的Yennum，Sedory和Singh分层模型（2020 Yennum，N. ，SA Sedory和S. Singh。2020年。利用负二项式和负超几何分布作为随机装置改进收集敏感数据的策略。统计中的交流-理论与方法。提前在线发布。doi：10.1080 / 03610926.2020.1777565。[Taylor＆Francis Online]，[Web  of Science® ] ，[Google Scholar]）和Yennum，Sedory和Singh的现有模型（2020年 Yennum，N. ，SA Sedory和S. Singh。2020年。利用负二项式和负超几何分布作为随机装置改进收集敏感数据的策略。统计中的交流-理论与方法。提前在线发布。doi：10.1080 / 03610926.2020.1777565。 通过数值研究比较了[Taylor＆Francis Online]，[Web ofScience®] ，[Google Scholar]的不同选择参数。