Abstract
We reconstruct posterior distributions for the position (sky area and distance) of a simulated set of binary neutron star gravitationalwaves signals observed with Advanced LIGO and Advanced Virgo. We use a Dirichlet process Gaussianmixture model, a fully Bayesian nonparametric method that can be used to estimate probability density functions with a flexible set of assumptions. The ability to reliably reconstruct the source position is important for multimessenger astronomy, as recently demonstrated with GW170817. We show that for detector networks comparable to the early operation of Advanced LIGO and Advanced Virgo, typical localization volumes are ~10 ^{4}10 ^{5}~Mpc ^{3} corresponding to ~10 ^{2}10 ^{3} potential host galaxies. The localization volume is a strong function of the network signaltonoise ratio, scaling roughly α ρ(variant) ^{6} _{net}. Fractional localizations improve with the addition of further detectors to the network. Our Dirichlet process Gaussianmixture model can be adopted for localizing events detected during future gravitationalwave observing runs and used to facilitate prompt multimessenger followup.
Original language  English 

Pages (fromto)  601614 
Number of pages  14 
Journal  Monthly Notices of the Royal Astronomical Society 
Volume  479 
Issue number  1 
Early online date  6 Jun 2018 
DOIs  
Publication status  Published  1 Sep 2018 
Keywords
 Gammaray burst: general
 Gravitational waves
 Methods: data analysis
 Methods: statistical
 Stars: neutron
ASJC Scopus subject areas
 Astronomy and Astrophysics
 Space and Planetary Science
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Profiles

Tom Fincham Haines
 Department of Computer Science  Lecturer
 EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa)
 UKRI CDT in Accountable, Responsible and Transparent AI
 Centre for Autonomous Robotics (CENTAUR)
 Centre for Mathematics and Algorithms for Data (MAD)
Person: Research & Teaching