Likelihood-ratio ranking of gravitational-wave candidates in a non-Gaussian background
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 provi...
| Main Authors: | , , , , , , , , , , , |
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2012
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| Online Access: | http://hdl.handle.net/1721.1/72139 |
| _version_ | 1826206016464748544 |
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| author | 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 |
| author2 | MIT Kavli Institute for Astrophysics and Space Research |
| author_facet | MIT Kavli Institute for Astrophysics and Space Research 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 |
| author_sort | Biswas, Rahul |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T13:22:40Z |
| format | Article |
| id | mit-1721.1/72139 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:22:40Z |
| publishDate | 2012 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/721392022-10-01T14:50:42Z Likelihood-ratio ranking of gravitational-wave candidates in a non-Gaussian background 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 MIT Kavli Institute for Astrophysics and Space Research LIGO (Observatory : Massachusetts Institute of Technology) Vaulin, Ruslan Vaulin, Ruslan 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. National Science Foundation (U.S.). (Grant number PHY-0600953) National Science Foundation (U.S.). (Grant number PHY-0923409) Laser Interferometer Gravitational Wave Observatory 2012-08-15T14:02:20Z 2012-08-15T14:02:20Z 2012-06 2012-02 Article http://purl.org/eprint/type/JournalArticle 1550-7998 1089-4918 http://hdl.handle.net/1721.1/72139 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 en_US http://dx.doi.org/10.1103/PhysRevD.85.122008 Physical Review D 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. application/pdf American Physical Society APS |
| spellingShingle | 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 Likelihood-ratio ranking of gravitational-wave candidates in a non-Gaussian background |
| title | Likelihood-ratio ranking of gravitational-wave candidates in a non-Gaussian background |
| title_full | Likelihood-ratio ranking of gravitational-wave candidates in a non-Gaussian background |
| title_fullStr | Likelihood-ratio ranking of gravitational-wave candidates in a non-Gaussian background |
| title_full_unstemmed | Likelihood-ratio ranking of gravitational-wave candidates in a non-Gaussian background |
| title_short | Likelihood-ratio ranking of gravitational-wave candidates in a non-Gaussian background |
| title_sort | likelihood ratio ranking of gravitational wave candidates in a non gaussian background |
| url | http://hdl.handle.net/1721.1/72139 |
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