Sousa et al. [Improved mean estimation of a sensitive variable using auxiliary information in stratified sampling. J Stat Manage Syst. 2014;17(5–6):503–518] presented a ratio estimator for mean estimation in stratified sampling using an additive scrambled response model for a sensitive variable. In order to improve the estimation of mean, this study is motivated to introduce two difference-cum-exponential ratio estimators for mean estimation of a sensitive variable in stratified sampling. The theoretical discussion is presented to show that the two proposed estimators are more efficient than the available estimators including Sousa et al. [Improved mean estimation of a sensitive variable using auxiliary information in stratified sampling. J Stat Manage Syst. 2014;17(5–6):503–518] ratio and regression estimator in certain situations. A real-life application and simulation studies are presented to express the performance of the proposed estimator and existing estimators. The two studies provide evidence that the two proposed estimators perform more efficiently for mean estimation than the other available estimators.

苏萨等人。[在分层抽样中使用辅助信息改进敏感变量的平均估计。J 统计管理系统。2014;17(5–6):503–518] 提出了一个比率估计器，用于使用敏感变量的加性加扰响应模型在分层抽样中进行均值估计。为了改进均值的估计，本研究的动机是引入两个差异-指数比估计量，用于分层抽样中敏感变量的均值估计。提出的理论讨论表明，两个提议的估计量比包括 Sousa 等人在内的可用估计量更有效。[在分层抽样中使用辅助信息改进敏感变量的平均估计。J 统计管理系统。2014;17(5-6):503-518] 某些情况下的比率和回归估计量。提出了现实生活中的应用和模拟研究，以表达所提出的估计器和现有估计器的性能。这两项研究提供的证据表明，两个提议的估计量比其他可用的估计量更有效地执行均值估计。