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一个非参数的混合指数加权移动平均线移动平均线控制图,用于燃气轮机
Muhammad Ali Raza1, Farah Tariq1, Abdullah A Zaagan2
1Department of Statistics, Government College University Faisalabad, Faisalabad, Pakistan.
PloS one
|August 13, 2024
概括
一个新的非参数控制图有效监控工艺位置转移,即使有非正常数据. 这种先进的方法通过纠正差异计算和整合标志测试以更好地控制质量来提高准确性.
科学领域:
- 统计过程控制 统计过程控制
- 质量工程 质量工程
- 非参数统计的统计.
背景情况:
- 传统的控制图假定正常分布,限制其有效性与非正常数据.
- 现有的混合指数加权移动平均线移动平均线 (EWMA-MA) 图表由于独立移动平均线假设而遭受不准确的差异计算.
- 与正常情况的偏差显著降低了标准EWMA-MA控制图的性能.
研究的目的:
- 开发一个强大的非参数混合指数加权移动平均线移动平均线 (NPEWMA-MA) 标志控制图.
- 解决现有的EWMA-MA图表中在非正常分布下的差异计算和性能方面的局限性.
- 提高检测过程位置转移的质量特征与未知或非正常分布的增强.
主要方法:
- 拟议的图表将非参数符号测试与EWMA-MA统计数据集成在一起,使用纠正的方差表达式.
- 该EWMA-MA统计结合了指数加权移动平均线和移动平均线组件,强调了最近的数据.
- 使用蒙特卡洛模拟来评估性能,分析运行长度特征 (ARL,SDRL,MRL) 和其他指标 (AEQL,RMI).
主要成果:
- 与现有的非参数图表相比,NPEWMA-MA标志控制图表在各种分布中表现出优异的性能.
- 该图表有效地检测了模拟数据和现实世界发电厂示例中的过程转移.
- 纠正的方差计算和非参数标志测试显著提高了图表的准确性和灵敏度.
结论:
- 开发的NPEWMA-MA标志控制图提供了一种可靠和准确的方法来监测工艺位置的变化,特别是在非正常条件下.
- 这种非参数方法为处理各种数据分布的质量控制专业人员提供了有价值的工具.
- 该研究证实了该图表的有效性,强调了其在工业环境中的实际应用.
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