| 一种双扰动数量特征随机化问答策略 |
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| 引用本文： | 洪志敏,闫在在,魏利东.一种双扰动数量特征随机化问答策略[J].数理统计与管理,2010,29(4). |
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| 作者姓名： | 洪志敏 闫在在 魏利东 |
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| 作者单位： | 内蒙古工业大学理学院,内蒙古,呼和浩特,010051 |
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| 基金项目： | 国家自然科学基金资助项目，内蒙古人才基金资助项目，内蒙古自治区高等学校科学技术研究项目 |
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| 摘 要： | 本文给出一种双扰动随机化回答模型.理论上扰动变量的引入会降低随机化调查的效率,本文使用两个设计参数设计了一种合理的双扰动变量随机化问答技术,在不降低装置对个体保护度的情况下,得出的结论表明,使用两个扰动变量可以提高调查装置的效率.通过数值模拟验证了本文模型的效率优于Bar-Lev,Bobovitch和Boukai 2004年单扰动回答模型的效率.
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| 关 键 词： | 随机化问答 敏感问题 放回简单随机抽样 均值估计 百分相对效率 |
An Randomized Response Strategy with Two Scrambled Variable for Obtaining Sensitive Quantitative Data |
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| HONG Zhi-min,YAN Zai-zai,WEI Li-dong.An Randomized Response Strategy with Two Scrambled Variable for Obtaining Sensitive Quantitative Data[J].Application of Statistics and Management,2010,29(4). |
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| Authors: | HONG Zhi-min YAN Zai-zai WEI Li-dong |
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| Abstract: | This paper presents result pertaining to investigations concerning quantitative characteristics surveys using the two scrambled variable.In theory,The efficiency of the randomized response strategy using scrambled variable would decline.In this paper,we suggest a reasonable randomized response technique using two design parameters.Under the same degree of privacy protection offered to the respondents,the obtained results show that the superiority of the proposed procedure over Bar-Lev, Bobovitch and Boukai(2004) strategy. |
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| Keywords: | randomized response technique sensitive questions simple random sampling with replacement mean estimation percent relative efficiency |
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