Likelihood-ratio ranking of gravitational-wave candidates in a non-Gaussian background
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Biswas-2012-Likelihood-ratio ranking of gravitational-wave.pdf
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Author(s) • • • • • • • • •
Biswas, Rahul
Brady, Patrick R.
Burguet-Castell, Jordi
Cannon, K. C.
Clayton, Jessica
Dietz, Alexander
Fotopoulos, Nickolas
Goggin, Lisa M.
Keppel, D. G.
Pankow, Chris
Date Issued
June 2012
Journal
Physical Review D
Publisher
American Physical Society
Citation
Biswas, Rahul et al. “Likelihood-ratio Ranking of Gravitational-wave Candidates in a non-Gaussian Background.” Physical Review D 85.12 (2012). © 2012 American Physical Society
Version
Final published version
Abstract
We describe a general approach to detection of transient gravitational-wave signals in the presence of non-Gaussian background noise. We prove that under quite general conditions, the ratio of the likelihood of observed data to contain a signal to the likelihood of it being a noise fluctuation provides optimal ranking for the candidate events found in an experiment. The likelihood-ratio ranking allows us to combine different kinds of data into a single analysis. We apply the general framework to the problem of unifying the results of independent experiments and the problem of accounting for non-Gaussian artifacts in the searches for gravitational waves from compact binary coalescence in LIGO data. We show analytically and confirm through simulations that in both cases applying the likelihood-ratio ranking results in an improved analysis.
MIT Department
MIT Kavli Institute for Astrophysics and Space Research
LIGO (Observatory : Massachusetts Institute of Technology)
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.85.122008