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基于二变中心和半径方法的间隔值的标量对函数线性定量回归
Kaiyuan Liu1, Min Xu1, Jiang Du1,2
1School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing, People's Republic of China.
Journal of applied statistics
|July 4, 2025
概括
这项研究引入了一种强大的区间值定量回归模型,用于分析复杂的大数据. 新方法比传统的平均回归提供了更可靠的结果,尤其是异常值.
科学领域:
- 统计 统计 统计 统计
- 象征数据分析 象征数据分析
- 大数据分析大数据分析
背景情况:
- 区间值的功能数据对于大数据分析至关重要.
- 平均回归是常见的,但对异常值敏感.
- 需要强大的方法来进行可靠的间隔值函数数据分析.
研究的目的:
- 提出一个强大的区间值的标量对函数线性定量回归模型.
- 在异常值存在时解决平均回归的局限性.
- 为了增强对区间值函数数据的分析.
主要方法:
- 开发了两种使用二变中心和半径方法的线性定量回归模型.
- 将模型应用于区间值响应和功能回归器.
- 利用数值模拟和现实世界气候数据进行验证.
主要成果:
- 拟议的区间值定量回归模型显示了增强的稳定性和效率.
- 该方法的性能优于传统的平均回归,特别是在异常数据的数据中.
- 通过模拟和气候数据集分析来验证有效性.
结论:
- 新的区间值定量回归模型为平均回归提供了一个优越的替代方案.
- 这种方法增强了对具有区间值功能的特征的大数据的分析.
- 这些发现对统计和数据分析研究人员来说很重要.
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