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SOME ADVANCED CONTROL CHARTS FOR MONITORING WEIBULL-DISTRIBUTED TIME BETWEEN EVENTS

机译:一些高级控制图表,用于监视事件之间的Weibull分布时间

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Time-between-events (TBE) data are available in industries such as manufacturing,maintenance, and even in service. Recently, control charts have been shown to be useful for the time-between-events to detect changes in the statistical distribution, especially the mean change. A common assumption for control chart design is the time between occurrences of events is exponentially-distributed. However, this is valid only when the events occurrence rate is constant. In this paper, a version of exponentially weighted moving average (EWMA) chart is developed for monitoring Weibull-distributed TBE data. The Average Run length (ARL) and Average Time to Signal (ATS) properties are examined, and an example is given for illustration.
机译:活动中的时间 - 事件(TBE)数据可在制造,维护甚至在服务等行业中提供。最近,已显示控制图对于在发生时间之间的时间内有用以检测统计分布的变化,尤其是平均变化。控制图表设计的共同假设是事件发生之间的时间是指数分布的。但是,只有当事件发生率常量时才有效。在本文中,开发了一种用于监视Weibull分布的TBE数据的指数加权移动平均(EWMA)图表。检查平均运行长度(ARL)和平均时间到信号(ATS)属性,并给出例子给出一个例子。

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