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Likelihood-ratio ranking of gravitational-wave candidates in a non-Gaussian background

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Author(s)
Biswas, Rahul
•
Brady, Patrick R.
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Burguet-Castell, Jordi
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Cannon, K. C.
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Clayton, Jessica
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Dietz, Alexander
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Fotopoulos, Nickolas
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Goggin, Lisa M.
•
Keppel, D. G.
•
Pankow, Chris
more
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)
Terms of Use
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.
Persistent DSpace Link
http://hdl.handle.net/1721.1/72139
DOI of Published Version
https://doi.org/10.1103/PhysRevD.85.122008
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