This paper introduces an innovative and optimal randomized response model by making use of correlated scrambling variables for estimating the population mean of a sensitive variable. The resultant estimators are found to be unbiased. Variance expressions of the proposed estimators have also been derived. Analytical as well as empirical evidences are provided in favour of the proposed estimators relative to their competitors. A possible extension to a general method is also suggested.

中文翻译：

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使用相关加扰变量的创新最优随机响应模型

本文通过使用相关加扰变量来估计敏感变量的总体均值，引入了一种创新的最优随机响应模型。结果估计量被发现是无偏的。还推导出了建议估计量的方差表达式。提供了分析和经验证据，以支持相对于其竞争对手的建议估计量。还建议对一般方法进行可能的扩展。