一个无限数量的无偏估计器的类,使用加权平方距离用于双层随机响应模型
Daryan Naatjes1, Stephen A Sedory1, Sarjinder Singh1
1Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX, USA.
Journal of applied statistics
|March 5, 2025
概括
本研究引入了使用新型随机响应技术对敏感调查数据的公正估计器. 最佳的重量选择确保了准确的比例估计在0和1之间.
科学领域:
- 统计 统计 统计 统计
- 调查方法 调查方法
- 公共卫生 公共卫生
背景情况:
- 估计人口中的敏感特征是具有挑战性的.
- 随机响应技术 (RRT) 提供隐私,但需要精心设计.
- 现有的RRT方法可能缺乏效率或最佳参数选择.
研究的目的:
- 为敏感属性的人口比例开发公正的估计器.
- 引入适用于任何重量选择的双层卡片RRT.
- 通过权重选择优化估计器效率,并确保估计值在 [0, 1] 范围内.
主要方法:
- 开发了一种新的随机响应技术,使用两张牌.
- 引入了用于估计器评估的斜率和曲率系数.
- 使用真实调查数据集进行模拟研究,以验证发现.
- 证明了最佳的重量选择,以提高估计器的效率.
主要成果:
- 拟议的RRT提供了对敏感特征的公正估计.
- 选择最佳的重量可以显著提高估计器的效率.
- 斜率和曲率系数为估计器属性提供了洞察力.
- 精心挑选的权重确保比例估计在0和1之间.
结论:
- 开发的RRT和公正估计器对于敏感数据是有效的.
- 选择最佳的重量对于准确和高效的调查估计至关重要.
- 这种方法有实际应用,例如在COVID-19流行研究中.
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