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Improved Phase I control charts for monitoring times between events

机译:改进了I期控制图,用于监控事件之间的时间

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摘要

In many situations, the times between certain events are observed and monitored instead of the number of events particularly when the events occur rarely. In this case, it is common to assume that the times between events follow an exponential distribution. Control charts are one of the main tools of statistical process control and monitoring. Control charts are used in phase I to assist operating personnel in bringing the process into a state of statistical control. In this paper, phase I control charts are considered for the observations from an exponential distribution with an unknown mean. A simulation study is carried out to compare the in-control robustness and out-of-control performance of the proposed chart. It is seen that the proposed charts are considerably more in-control robust than two competing charts and have comparable out-of control properties
机译:在许多情况下,观察和监视某些事件之间的时间而不是事件的数量,尤其是在事件很少发生时。在这种情况下,通常会假设事件之间的时间遵循指数分布。控制图是统计过程控制和监视的主要工具之一。在第一阶段中使用控制图来帮助操作人员使过程进入统计控制状态。在本文中,考虑从具有未知平均值的指数分布中观察到的第一阶段控制图。进行了仿真研究,以比较建议图表的控制中鲁棒性和失控性能。可以看出,所提出的图表比两个竞争图表具有更好的控制内鲁棒性,并且具有相当的失控特性

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