Recently, Ahmed et al. (Commun Stat Theory Methods 47(2):324–343, 2018) have introduced the idea of simultaneously estimating means of two sensitive variables by collecting one scrambled response and another pseudo-response. In this paper, we extend their idea to the simultaneous estimation of two means by making use of the forced quantitative randomized response model of Gjestvang and Singh (Metrika 66(2):243–257, 2007) but then re-scrambling the scrambled scores. This idea of re-scrambling already scrambled responses seems completely new in the field of randomized response sampling. The performance of the proposed forced quantitative randomized response model has been investigated analytically as well as empirically.

中文翻译：

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同时估计两个敏感变量均值的强加扰随机响应模型

最近，艾哈迈德等人。（Commun Stat Theory Methods 47（2）：324–343，2018）引入了通过收集一个加扰响应和另一个伪响应来同时估计两个敏感变量均值的想法。在本文中，我们通过使用Gjestvang和Singh的强制定量随机响应模型（Metrika 66（2）：243–257，2007）将他们的想法扩展到同时估计两种方法，然后重新加扰了得分。重新加扰已经加扰的响应的想法在随机响应采样领域似乎是全新的。所提出的强制定量随机响应模型的性能已在分析和经验上进行了研究。