一个简单的差异估计器不平等的概率采样没有替换
1Social Statistics, University of Southampton, UK.
Journal of applied statistics
|October 7, 2024
概括
哈杰克差异估计器为不平等的概率抽样提供了一个比汉森-赫尔维茨估计器更准确的替代方案. 它简化了商业调查中的差异估计,仅依赖于第一阶段的包含概率.
科学领域:
- 统计 统计 统计 统计
- 调查方法 调查方法
背景情况:
- 传统的调查采样通常使用Sen-Yates-Grundy差异估计器,由于联合包含概率,其实施是复杂的.
- 汉森-赫尔维茨 (与替代) 差异估计器在实践中通常使用,但在商业调查中可以高估大样本分数的差异.
研究的目的:
- 审查Hájek差异估计器作为一个更准确和更实用的替代方案,用于不平等的概率采样,而无需替换.
- 为Hájek估计器提出一个简化的表达式,使其与汉森-赫维茨估计器一样容易实现.
- 为了证明使用标准统计包实现Hájek估计器的易用性.
主要方法:
- 对Hájek (1964) 差异估计器的审查,重点关注其依赖第一阶包含概率.
- 为Hájek差异估计器开发一个简化的替代表达式.
- 使用标准统计软件进行实施演示.
主要成果:
- 哈杰克差异估计器通常比汉森-赫尔维茨估计器更准确,特别是在大样本分数的情况下.
- 为Hájek估计器提出了一个新的,简化的表达式,其复杂性与Hansen-Hurwitz估计器相比.
- 哈杰克估计器可以很容易地实现在共同的统计数据包中.
结论:
- 哈杰克差异估计器为估计不平等概率采样设计中的差异提供了更准确和实际可行的方法.
- 它的简化形式和易于实施使其成为商业调查中具有大量抽样分数的有价值工具.
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