监控二进制配置文件的聚合参数更新方案
Yifan Li1, Chunjie Wu1, Zhijun Wang1
1School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai, People's Republic of China.
Journal of applied statistics
|March 25, 2024
概括
本研究引入了统计过程控制的新递归更新策略,改进了对大规模数据集的参数估计和监控. 这种新的方法提高了现代复杂流程的效率.
科学领域:
- 统计过程控制 统计过程控制
- 质量工程 质量工程
- 数据分析数据分析数据分析.
背景情况:
- 个人资料监控对于统计过程控制至关重要,但传统方法在处理大规模数据集时遇到困难.
- 现有的方案需要大量的历史数据来估计参数,这带来了计算挑战.
- 现代流程产生大样本大小,需要有效的参数更新策略.
研究的目的:
- 开发一种新的递归更新策略,用于对大规模数据集的个人资料监控.
- 设计一个自动启动的控制图表,有效地处理大规模的过程数据.
- 在复杂的工业环境中,提高参数估计的准确性和过程监控的有效性.
主要方法:
- 开发了一个基于聚合估计方程 (AEE) 的递归更新策略.
- 使用AEE设计了一个自动启动的控制图表,用于对二进制配置文件的监控.
- 数字模拟和真实数据示例用于验证.
主要成果:
- 提出的基于AEE的递归更新策略在参数估计方面表现出卓越的表现.
- 新的自动启动控制图表显示了过程监控的效率提高.
- 监测统计数据的异交性质得到了推导,证实了理论的可靠性.
结论:
- 基于AEE的递归更新策略为大规模数据集的个人资料监控提供了经济有效的解决方案.
- 开发的自启动控制图表显著改善了复杂统计过程的传统方法.
- 这些发现对处理大数据的行业的质量控制具有实际意义.
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