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arXiv 2107.11971stat.APstat.ME
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一种双变量事件数据的实时监测方法

A Real Time Monitoring Approach for Bivariate Event Data

Inez Maria Zwetsloot, Tahir Mahmood, Funmilola Mary Taiwo, Zezhong Wang

摘要:

例如,在疾病监测、高质量流程监测、可靠性监测和公共卫生方面,及早发现事件发生频率的变化是一项重要任务。在这篇文章中,我们专注于通过监视事件间时间(TBE)来检测多变量事件数据中的变化。现有的多变量TBE图是有限的,在这个意义上说,他们只信号发生后的事件,为每个单独的过程。这导致延迟(即,信号发送时间长),特别是如果感兴趣的是检测一个或几个过程中的变化。我们提出了一个双变量TBE(BTBE)图,这是能够在实时信号。我们推导出控制限和平均信号时间性能的解析表达式,进行性能评估,并将我们的图表与现有方法进行比较。研究结果表明,我们的方法是一个现实的方法来监测双变量事件之间的时间数据,并具有更好的检测能力比现有的方法。我们的方法的一个很大的好处是,它的信号实时,由于解析表达式,不需要模拟。所提出的方法是实现在现实生活中的数据集有关艾滋病。

英文摘要:

Early detection of changes in the frequency of events is an important task, in, for example, disease surveillance, monitoring of high-quality processes, reliability monitoring and public health. In this article, we focus on detecting changes in multivariate event data, by monitoring the time-between-events (TBE). Existing multivariate TBE charts are limited in the sense that, they only signal after an event occurred for each of the individual processes. This results in delays (i.e., long time to signal), especially if it is of interest to detect a change in one or a few of the processes. We propose a bivariate TBE (BTBE) chart which is able to signal in real time. We derive analytical expressions for the control limits and average time-to-signal performance, conduct a performance evaluation and compare our chart to an existing method. The findings showed that our method is a realistic approach to monitor bivariate time-between-event data, and has better detection ability than existing methods. A large benefit of our method is that it signals in real-time and that due to the analytical expressions no simulation is needed. The proposed method is implemented on a real-life dataset related to AIDS.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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