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Detecting changes in a Poisson process monitored at uneven time intervals where the arrival rates are unknown
Sequential Analysis ( IF 0.6 ) Pub Date : 2018-04-03 , DOI: 10.1080/07474946.2018.1466538
Marlo Brown 1
Affiliation  

Abstract We look at a Poisson process where the arrival rate changes at some unknown time point. We monitor this process only at certain time points. At each time point, we count the number of arrivals that happened in that time interval. We assume that the times at which the process is observed is fixed but uneven. In previous papers, we assumed that the arrival rates both before after the change are known. In this article, we assume that the arrival rates both before the change and after the change are unknown. We only know that when the change happens, this results in an increasing arrival rate.

中文翻译:

检测以不均匀时间间隔监控的泊松过程中的变化,其中到达率未知

摘要 我们看一个泊松过程,其中到达率在某个未知时间点发生变化。我们仅在特定时间点监控此过程。在每个时间点,我们计算该时间间隔内发生的到达次数。我们假设观察过程的时间是固定的但不均匀的。在之前的论文中,我们假设变化前后的到达率都是已知的。在本文中,我们假设变化前和变化后的到达率都是未知的。我们只知道当变化发生时,这会导致到达率增加。
更新日期:2018-04-03
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