双辅助信息下数量特征敏感性问题的估计量

Estimators of Population Proportion Using Quantitative Randomized Response Technique with Two Auxiliary Variables

随机化回答技术是调查敏感性问题的一种可方便操作和实施的方法,它能够有效地保护被调查者隐私的同时还提高了受访者真实回答问题的可能。在随机化回答技术中使用辅助信息,可以提高估计量的精度,从而可以得到更为合理的调查结果。本文,首先在数量特征随机化回答技术中引入两个辅助信息。然后关于敏感数量提出比方法和比方法与回归方法组合的两种估计量,计算了这两种估计量的均方误差。最后通过数值计算验证了两种估计量的合理性。

Randomized response technique is a method easy to operate and implement for the sensitive questionsurvey. By using the auxiliary information in randomized response technique,the accuracy of estimator is improved,and survey result can be obtained more reasonably. In this paper,two auxiliary information are introducedin quantitative randomized response technique propose,and the ratio method estimator and ratio method combinedwith regression method estimator are proposed about sensitive value,then the mean square error of these two estimators is calculated,finally the rationality of these two estimators is verified by numerical calculation.