一般化强大的回归技术和适应性集群采样,以有效估计稀有和集群种群的平均种群数量
Mir Subzar1, Taghreed Alqurashi2, Deeksha Chandawat3
1UIM (Unitedworld Institute of Management), Karnavati University, Gandhinagar Gujarat, India. subzarstat@gmail.com.
Scientific reports
|January 15, 2025
概括
适应性集群采样 (ACS) 可以被异常值扭曲. 这项研究引入了新的适应性比率类型回归估计器,对异常值具有稳定性,使用各种M估计函数提高了罕见和集群群体的准确性.
科学领域:
- 统计 统计 统计 统计
- 调查方法 调查方法
- 生态采样 生态采样
背景情况:
- 适应性集群采样 (ACS) 对罕见和集群种群有效,但对异常值敏感.
- 传统的采样方法可能会产生扭曲的结果,当数据包含异常值时,影响准确性.
- 现场研究中偏离预选抽样计划的偏差需要强大的统计方法.
研究的目的:
- 在ACS框架内开发新的自适应比率类型回归估计器,这些估计器对异常值具有稳定性.
- 在处理受污染的数据时,与传统方法相比,评估这些新估计器的性能.
- 提高集群和罕见种群采样方法的可靠性.
主要方法:
- 使用普通最小平方 (OLS) 和几个M估计函数 (Huber M,Mallows GM,Schweppe GM,SIS GM和Uk的回降M估计) 定义的自适应比率类型回归估计器.
- 提出了新的回归类型估计器,将这些强大的函数纳入ACS框架.
- 推导和分析了适应和拟议估计器的平均平方误差属性.
主要成果:
- 拟议的自适应比率类型回归估计器在异常值的存在下显示出更好的性能和稳定性.
- 使用来自Poisson集群过程的现实和模拟数据进行的评估证实了新估计器的有效性.
- 该研究量化了平均平方误差属性,为估计器选择提供了基础.
结论:
- 开发的自适应比率类型回归估计器为采样具有潜在异常值的罕见和集群群体提供了更可靠的解决方案.
- 集成到ACS中的强大的M估计功能显著减轻了异常值对调查估计的扭曲影响.
- 这项研究通过为处理具有挑战性的人口结构和数据质量问题的现场研究人员提供增强的工具,推进了调查方法.
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