标题： 非齐次泊松过程用于快速射电暴率 显示英文标题

标题： The Non-homogeneous Poisson Process for Fast Radio Burst Rates

摘要： 本文提出了非齐次泊松过程（NHPP）用于建模快速射电暴（FRBs）及其他不常观测的天文学事件的速率。 NHPP在统计学中广为人知，可以将速率的变化作为天文学特征和观测活动细节的函数进行建模。 这对于像FRBs这样的稀有事件特别有帮助，因为NHPP可以结合不同调查的信息，充分利用所有可用信息。 本文的目标有两个。 首先，它旨在作为使用NHPP的教程。 其次，我们构建了一个NHPP模型，该模型结合了波束图案和快速射电暴速率的幂律通量分布。 利用包括15次检测在内的12次调查的信息，我们发现高于1 Jy通量的全天FRB速率为每天586.88次（95%置信区间：271.86，923.72），通量幂律指数为0.91（95%置信区间：0.57，1.25）。 我们的速率低于其他已发表的速率，但与Champion等2016年的结果一致。 显示英文摘要

摘要： This paper presents the non-homogeneous Poisson process (NHPP) for modeling the rate of fast radio bursts (FRBs) and other infrequently observed astronomical events. The NHPP, well-known in statistics, can model changes in the rate as a function of both astronomical features and the details of an observing campaign. This is particularly helpful for rare events like FRBs because the NHPP can combine information across surveys, making the most of all available information. The goal of the paper is two-fold. First, it is intended to be a tutorial on the use of the NHPP. Second, we build an NHPP model that incorporates beam patterns and a power law flux distribution for the rate of FRBs. Using information from 12 surveys including 15 detections, we find an all-sky FRB rate of 586.88 events per sky per day above a flux of 1 Jy (95\% CI: 271.86, 923.72) and a flux power-law index of 0.91 (95\% CI: 0.57, 1.25). Our rate is lower than other published rates, but consistent with the rate given in Champion et al. 2016.