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Economic-Statistical Design of a Logarithmic Transformed S~2 Ewma Chart

机译:对数变换的S〜2 Ewma图的经济统计设计

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In this paper the economic-statistical design of a S~2 EWMA control chart for the on-line control of process dispersion is investigated. The EWMA chart operates through a control statistic based on a logarithmic transformation of the sample variance to make possible working on an approximately standard normally distributed random variable. The optimal design of the chart is achieved by respecting a statistical constraint related to the in-control Average Run Length (ARL_0). An extensive data set of process scenarios has been investigated and a comparison with a S~2 Shewhart chart is performed: for proper operating conditions and shifts in process dispersion, the obtained numerical results help the decision maker in the selection of the best performing chart.
机译:本文研究了用于过程分散在线控制的S〜2 EWMA控制图的经济统计设计。 EWMA图表通过基于样本方差的对数转换的控制统计信息进行操作,从而可以处理近似标准正态分布的随机变量。通过遵守与控制中平均行程长度(ARL_0)有关的统计约束条件,可以实现图表的最佳设计。已经研究了广泛的过程场景数据集,并与S〜2 Shewhart图表进行了比较:对于适当的操作条件和过程分散的变化,获得的数值结果有助于决策者选择性能最佳的图表。

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