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一种用于估计人口变异的新方法,采用从分层随机抽样中获得的信息
Sohaib Ahmad1, Aned Al Mutairi2, Said G Nassr3
1Department of Statistics, Abdul Wali Khan University, Mardan, Pakistan.
本研究引入了使用两种辅助变量在分层随机抽样中的有限人口变异的改进估计器. 与现有估计器相比,新方法显示出更高的准确性和效率,通过真实数据和模拟来验证.
科学领域:
- 统计 统计 统计 统计
- 调查方法 调查方法
背景情况:
- 在统计调查中,精确估计有限种群变异性至关重要.
- 现有的估计器在精度上可能有局限性,特别是复杂的数据结构.
研究的目的:
- 为有限种群方差提出一种新的,增强的估计器.
- 在分层随机抽样框架中使用双重辅助变量.
- 与现有方法相比,提高估计准确性和效率.
主要方法:
- 开发了有限种群变异的增强估计器.
- 采用了双重辅助变量和分层随机抽样.
- 偏差和平均平方误差 (MSE) 的衍生分析表达式,直至近似的第一个顺序.
- 使用三个真实世界数据集和模拟研究验证了估计器.
主要成果:
- 与现有估计器相比,拟议的估计器始终显示出较小的MSE.
- 增强的估计器实现了更好的百分比相对效率 (PRE).
- 经验性比较和模拟分析证实了理论发现.
结论:
- 增强的估计器为有限种群差异估计提供了更高的精度和效率.
- 在分层采样中使用双重辅助变量是有效的.
- 拟议的方法为寻求更准确的差异估计的调查从业者提供了有价值的替代方案.
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