A selfconsistent method to estimate the rate of compact binary coalescences with a Poisson mixture model
Abstract
The recently published GWTC1 (Abbott B P et al (LIGO Scientific Collaboration and Virgo Collaboration) 2019 Phys. Rev. X 9 031040)a journal article summarizing the search for gravitational waves (GWs) from coalescing compact binaries in data produced by the LIGOVirgo network of groundbased detectors during their first and second observing runsquoted estimates for the rates of binary neutron star, neutron star black hole binary, and binary black hole mergers, as well as assigned probabilities of astrophysical origin for various significant and marginal GW candidate events. In this paper, we delineate the formalism used to compute these rates and probabilities, which assumes that triggers above a low ranking statistic threshold, whether of terrestrial or astrophysical origin, occur as independent Poisson processes. In particular, we include an arbitrary number of astrophysical categories by redistributing, via massbased template weighting, the foreground probabilities of candidate events, across source classes. We evaluate this formalism on synthetic GW data, and demonstrate that this method works well for the kind of GW signals observed during the first and second observing runs.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 February 2020
 DOI:
 10.1088/13616382/ab5f2d
 arXiv:
 arXiv:1903.06881
 Bibcode:
 2020CQGra..37d5007K
 Keywords:

 gravitational waves;
 LIGO;
 rates of compact binary mergers;
 Astrophysics  High Energy Astrophysical Phenomena
 EPrint:
 19 pages, 5 figures