In the present paper, we propose an efficient scrambled estimator of population mean of quantitative sensitive study variable, using general linear transformation of non-sensitive auxiliary variable. Efficiency comparisons with the existing estimators have been carried out both theoretically and numerically. It has been found that our optimal scrambled estimator is always more efficient than most of the existing scrambled estimators and also it is more efficient than few other scrambled estimators under some conditions.

中文翻译：

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利用非敏感辅助变量的一般线性变换对定量敏感变量总体均值进行有效的加扰估计

在本文中，我们使用非敏感辅助变量的一般线性变换，提出了一种定量敏感研究变量总体均值的有效加扰估计器。理论上和数值上都与现有估算器进行了效率比较。已经发现，在某些情况下，我们的最佳加扰估计器总是比大多数现有的加扰估计器更有效，并且比其他几个加扰估计器更有效。