在排列采集抽样下,提出了一种新的估计器类:模拟和各种应用
M Yusuf1, Najwan Alsadat2, Balogun Oluwafemi Samson3
1Helwan University, Faculty of Science, Mathematics Department, Cairo, Egypt.
Heliyon
|October 25, 2023
概括
本研究引入了改进的指数估计器,用于使用排序集采样 (RSS) 中的辅助数据进行人口平均估计. 这些新型估计器在模拟和现实应用中表现出比传统方法更好的性能.
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,准确估计人口平均值至关重要.
- 排序集采样 (RSS) 与简单的随机采样相比,提供了更高的效率.
- 现有的估计器可能无法充分利用RSS中的辅助信息.
研究的目的:
- 在RSS下开发一类新的增强指数估计器,用于人口平均值.
- 评估与现有估计器相比,提出的估计器的理论效率.
- 通过模拟和真实数据验证新估计器的实际性能.
主要方法:
- 使用辅助变量的增强指数类估计器的开发.
- 拟议估计器的平均平方误差 (MSE) 的近似计算.
- 推导条件的优越性增强的估计器.
- 对正常和指数种群的模拟研究.
- 应用到现实世界的数据集.
主要成果:
- 与传统估计器相比,拟议的增强指数估计器表现出更高的效率.
- 理论分析证实了新估计者优越的条件.
- 模拟结果始终显示出建议的估计器的表现优于建议的估计器.
- 真实数据示例说明了实际的可用性.
结论:
- 新的增强指数估计器为RSS中人口平均估计提供了更准确和更有效的方法.
- 拟议的方法为各种现实生活中的统计问题提供了实际优势.
- 这项研究有助于推进调查采样中的估计技术.
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