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Published in:
2021 | OriginalPaper | Chapter
An Approach to Monitoring Time Between Events When Events Are Frequent
Authors : Ross Sparks, Aditya Joshi, Cecile Paris, Sarvnaz Karimi
Published in: Frontiers in Statistical Quality Control 13
Publisher: Springer International Publishing
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Abstract
This paper focuses on monitor plans aimed at the early detection of the increase in the frequency of events. The literature recommends either monitoring the Time Between Events (TBE), if events are rare, or counting the number of events per unit non-overlapping time intervals, if events are not rare. Recent monitoring work has suggested that monitoring counts in preference to TBE is not recommended even when counts are low (less than 10). Monitoring TBE is the real-time option for outbreak detection, because outbreak information is accumulated when an event occurs. This is preferred to waiting for the end of a period to count events if outbreaks are large and occur in a short time frame. If the TBE reduces significantly, then the incidence of these events increases significantly. This paper explores monitoring TBE when the daily counts are quite high. We consider the case when TBEs are Weibull distributed.