Biswas, Rahul and Brady, Patrick R. and Burguet-Castell, Jordi and Cannon, Kipp and Clayton, Jessica and Dietz, Alexander and Fotopoulos, Nickolas and Goggin, Lisa M. and Keppel, Drew and Pankow, Chris and Price, Larry R. and Vaulin, Ruslan (2012) Likelihood-ratio ranking of gravitational-wave candidates in a non-Gaussian background. Physical Review D, 85 (12). Art. No. 122008. ISSN 0556-2821 http://resolver.caltech.edu/CaltechAUTHORS:20120713-161758211
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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.
|Additional Information:||© 2012 American Physical Society. Received 20 February 2012; published 25 June 2012. Authors would like to thank Ilya Mandel and Jolien Creighton for many fruitful discussions and helpful suggestions. This work has been supported by NSF Grant Nos. PHY-0600953 and PHY-0923409. D.K. was supported from the Max Planck Gesellschaft. L. P. and R.V. was supported by LIGO laboratory. J. B. was supported by the Spanish MICINN FPA2010-16495 grant and the Conselleria dEconomia Hisenda i Innovacio of the Govern de les Illes Balears. LIGO was constructed by the California Institute of Technology and Massachusetts Institute of Technology with funding from the National Science Foundation and operates under cooperative agreement PHY-0757058.|
|Classification Code:||PACS: 04.80.Nn, 07.05.Kf, 95.55.Ym|
|Official Citation:||Biswas, R., P. R. Brady, et al. (2012). "Likelihood-ratio ranking of gravitational-wave candidates in a non-Gaussian background." Physical Review D 85(12): 122008.|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Aucoeur Ngo|
|Deposited On:||16 Jul 2012 14:43|
|Last Modified:||26 Dec 2012 15:32|
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