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Enhanced exponentially weighted moving average (EWMA) control chart performance with autocorrelation

机译:自相关增强了指数加权移动平均(EWMA)控制图性能

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摘要

This research introduces an enhanced exponentially weighted moving average (EWMA) control chart which is effective in detecting small and unnoticed shifts in monitoring process mean for autocorrelated data. The control chart is based on extension or modification of EWMA control chart statistic. The proposed control chart is named the new EWMA (NEWMA) and is applied to simulated autocorrelated data for different autocorrelation levels (low, moderate and large) to study the performance of the chart. The run rules schemes were introduced to enhance the performance of the NEWMA chart namely; three out of three and three out of four schemes and three out of four is the best among the schemes. The NEWMA chart performs for observations that are autocorrelated. The NEWMA control chart has been tested on 100,000 simulations and it is found that it is quick in detecting process shift and able to identify the out of control points as it occurs. The performance of the technique has been evaluated using the average run length (ARL) and compared with modified exponentially weighted moving average (MEWMA) and classical exponentially weighted moving average (CEWMA) control charts and found that the NEWMA chart is faster in detecting shift. The NEWMA chart was applied to the KLSE Share index data, water quality data and Malaysian labour force data which are autocorrelated in nature and found to be effective in detecting the shifts.
机译:这项研究引入了增强的指数加权移动平均(EWMA)控制图,该控制图可有效地检测自相关数据的监视过程平均值中的细微变化。控制图基于EWMA控制图统计信息的扩展或修改。拟议的控制图被称为新的EWMA(NEWMA),并应用于不同自相关级别(低,中和大)的模拟自相关数据,以研究该图的性能。引入了运行规则方案以增强NEWMA图表的性能。在所有方案中,三分之三和四分之三是最好的。 NEWMA图表用于自动相关的观察。 NEWMA控制图已在100,000个仿真上进行了测试,发现它可以快速检测过程偏移并能够识别出发生的失控点。该技术的性能已使用平均游程长度(ARL)进行了评估,并与修改后的指数加权移动平均值(MEWMA)和经典指数加权移动平均值(CEWMA)控制图进行了比较,发现NEWMA图可以更快地检测到偏移。 NEWMA图表应用于自然自相关的KLSE股指数据,水质数据和马来西亚劳动力数据,被发现在检测变化方面有效。

著录项

  • 作者

    Farouk Abbas Umar;

  • 作者单位
  • 年度 2015
  • 总页数
  • 原文格式 PDF
  • 正文语种 en
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