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

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; Price, Larry R.; Vaulin, Ruslan; ... Show more Show less
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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.
Date issued
2012-06
URI
http://hdl.handle.net/1721.1/72139
Department
MIT Kavli Institute for Astrophysics and Space Research; LIGO (Observatory : Massachusetts Institute of Technology)
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
ISSN
1550-7998
1089-4918

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