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Title: The Nonhomogeneous Poisson Process for Fast Radio Burst Rates

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 dependence of the rate on 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 587 events per sky per day above a flux of 1 Jy (95% CI: 272, 924) and a flux power-law index of 0:91 (95% CI: 0.57, 1.25).
Authors:
ORCiD logo [1] ; ORCiD logo [1] ; ORCiD logo [2] ; ORCiD logo [3] ; ORCiD logo [4]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of California, Berkeley, CA (United States)
  3. West Virginia Univ., Morgantown, WV (United States)
  4. Academia Sinica Inst. of Astronomy and Astrophysics, A'ohoku Place Hilo, HI (United States)
Publication Date:
Report Number(s):
LA-UR-16-26261
Journal ID: ISSN 1538-3881; TRN: US1800992
Grant/Contract Number:
AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
Astronomical Journal (Online)
Additional Journal Information:
Journal Name: Astronomical Journal (Online); Journal Volume: 154; Journal Issue: 3; Journal ID: ISSN 1538-3881
Publisher:
IOP Publishing - AAAS
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; Astronomy and Astrophysics; Mathematics
OSTI Identifier:
1417157

Lawrence, Earl, Wiel, Scott Vander, Law, Casey, Spolaor, Sarah Burke, and Bower, Geoffrey C. The Nonhomogeneous Poisson Process for Fast Radio Burst Rates. United States: N. p., Web. doi:10.3847/1538-3881/aa844e.
Lawrence, Earl, Wiel, Scott Vander, Law, Casey, Spolaor, Sarah Burke, & Bower, Geoffrey C. The Nonhomogeneous Poisson Process for Fast Radio Burst Rates. United States. doi:10.3847/1538-3881/aa844e.
Lawrence, Earl, Wiel, Scott Vander, Law, Casey, Spolaor, Sarah Burke, and Bower, Geoffrey C. 2017. "The Nonhomogeneous Poisson Process for Fast Radio Burst Rates". United States. doi:10.3847/1538-3881/aa844e. https://www.osti.gov/servlets/purl/1417157.
@article{osti_1417157,
title = {The Nonhomogeneous Poisson Process for Fast Radio Burst Rates},
author = {Lawrence, Earl and Wiel, Scott Vander and Law, Casey and Spolaor, Sarah Burke and Bower, Geoffrey C.},
abstractNote = {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 dependence of the rate on 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 587 events per sky per day above a flux of 1 Jy (95% CI: 272, 924) and a flux power-law index of 0:91 (95% CI: 0.57, 1.25).},
doi = {10.3847/1538-3881/aa844e},
journal = {Astronomical Journal (Online)},
number = 3,
volume = 154,
place = {United States},
year = {2017},
month = {8}
}