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一个控制图表,用于对双变量离散数据的监控
Ayesha Talib1, Sajid Ali1, Ismail Shah1,2
1Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan.
Journal of applied statistics
|July 4, 2025
概括
一个新的控制图表有效地监控Gumbel.
科学领域:
- 统计过程控制 统计过程控制
- 质量管理质量管理.
- 工业统计 工业统计 工业统计
背景情况:
- 控制图表对于检测过程变化至关重要.
- 像Hotelling的T^2图表这样的现有方法在监测复杂数据方面存在局限性.
- 持续改进依赖于先进的过程监控工具.
研究的目的:
- 引入一个双变的指数加权移动平均 (MEWMA) 控制图.
- 为了监测冈贝尔双变几何 (GBG) 数据的平均向量.
- 将拟议的MEWMA (GBG) 图表的表现与Hotelling的T^2图表进行比较.
主要方法:
- 为GBG分布量身定制MEWMA控制图的开发.
- 使用模拟和现实数据集进行比较分析.
- 基于统计指标和检测能力的绩效评估.
主要成果:
- 拟议的MEWMA (GBG) 图表显示了比Hotelling的T^2图表更好的表现.
- MEWMA (GBG) 图表的性能均且大大优于现有方法.
- 通过真实世界的工业实例和模拟数据进行验证.
结论:
- MEWMA (GBG) 图表是联合监测GBG数据的一个更有效的工具.
- 这种进步提供了改善的过程稳定性和性能监控.
- 该研究建议采用MEWMA (GBG) 图表来加强质量控制.
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