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The conditional in-control performance of self-starting control charts

机译：自启动控制图的条件控制性能

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摘要

It is observed from statistical process monitoring literature that self-starting control chart methods are useful in monitoring the process when only a small amount of relevant historical data is available. These self-starting charts help in estimating the process parameter (average and standard deviation) for Phase I, since collecting baseline data can be difficult or slow in some applications. In this article, it is proposed to use the average of the in-control average run length (AARL) and the standard deviation of the in-control average run length (SDARL) to assess the in-control run length performance of self-starting charts conditioned on the preliminary data used. Originally, the procedure for implementing the self-starting Shewhart and CUSUM control charts for individual observations is discussed. The performance of the proposed conditional in-control self-starting Shewhart and CSUM charts using the AARL and SDARL metrics is assessed using a simulation study and then the results are discussed in detail. Based on the discussion on the results obtained some practical implications of the proposed methods are given and recommendations regarding the use of self-starting charts are made.
机译：从统计过程监控文献中可以看出，当只有少量相关历史数据可用时，自启动控制图方法可用于监控过程。这些自启动图表有助于估算第一阶段的工艺参数（平均值和标准偏差），因为在某些应用中，收集基线数据可能很困难或很慢。在本文中，建议使用控制内平均游程长度（AARL）的平均值和控制内平均游程长度（SDARL）的标准偏差来评估基于所用初步数据的自启动图表的控制内游程性能。最初，讨论了为个体观测实施自启动Shewhart和CUSUM控制图的程序。通过仿真研究，评估了采用AARL和SDARL度量的条件控制自启动Shewhart和CSUM图的性能，并对结果进行了详细讨论。基于对所得结果的讨论，给出了所提出方法的一些实际意义，并就使用自启动图提出了建议。

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