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arXiv 1109.3208gr-qcphysics.data-an
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连续引力波分析中贝叶斯上限与频率上限的判定

A decision between Bayesian and Frequentist upper limit in analyzing continuous Gravitational Waves

Iraj Gholami

摘要:

考虑到目前地面引力波(GW)探测器的灵敏度,我们实际上可以预期的任何连续波信号都将处于或低于背景噪声的水平。因此,探测器数据的任何数据分析都需要依靠统计技术来将信号与噪声分离。虽然我们的探测器目前的灵敏度,我们不希望在我们的数据中检测到任何真正的GW信号,我们仍然可以设置其振幅的上限(UL)。事实上,这些上限告诉我们,我们将检测到的信号强度有多弱。在使用两种流行的方法,贝叶斯和频率论设置上限,总是有一个现实的结果的问题。在本文中,我们试图给出一个估计,如何现实地,我们可以设置上限使用上述方法。如果有的话,哪一个是我们未来数据分析工作的首选。

英文摘要:

Given the sensitivity of current ground-based Gravitational Wave (GW) detectors, any continuous-wave signal we can realistically expect will be at a level or below the background noise. Hence, any data analysis of detector data will need to rely on statistical techniques to separate the signal from the noise. While with the current sensitivity of our detectors we do not expect to detect any true GW signals in our data, we can still set upper limits (UL) on their amplitude. These upper limits, in fact, tell us how weak a signal strength we would detect. In setting upper limit using two popular method, Bayesian and Frequentist, there is always the question of a realistic results. In this paper, we try to give an estimate of how realistically we can set the upper limit using the above mentioned methods. And if any, which one is preferred for our future data analysis work.

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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