ABSTRACT A flexible scrambled response model using a randomization device for quantitative sensitive data is used to evaluate the protection of respondents’ privacy. A double-sampling regression-cum-exponential estimator is used to estimate the mean of a sensitive variable using the mean of a nonsensitive auxiliary variable under scrambled response. The expected bias, the expected mean square error, and the minimum mean square error of this exponential-type estimator are expressed. Simulations and empirical results show that the proposed estimator under scrambled response model has a lower mean square error and a lower bias than the ratio and the exponential estimators.

中文翻译：

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敏感变量均值的双抽样回归兼指数估计量

摘要 使用随机化设备定量敏感数据的灵活加扰响应模型用于评估受访者隐私的保护。双抽样回归暨指数估计器用于在加扰响应下使用非敏感辅助变量的均值来估计敏感变量的均值。表示该指数型估计量的期望偏差、期望均方误差和最小均方误差。仿真和实证结果表明，在加扰响应模型下，所提出的估计量比比率和指数估计量具有更低的均方误差和更低的偏差。