Detecting a stochastic background of gravitational waves in the presence of nonGaussian noise: A performance of generalized crosscorrelation statistic
Abstract
We discuss a robust data analysis method to detect a stochastic background of gravitational waves in the presence of nonGaussian noise. In contrast to the standard crosscorrelation (SCC) statistic frequently used in the stochastic background searches, we consider a generalized crosscorrelation (GCC) statistic, which is nearly optimal even in the presence of nonGaussian noise. The detection efficiency of the GCC statistic is investigated analytically, particularly focusing on the statistical relation between the falsealarm and the falsedismissal probabilities, and the minimum detectable amplitude of gravitationalwave signals. We derive simple analytic formulas for these statistical quantities. The robustness of the GCC statistic is clarified based on these formulas, and one finds that the detection efficiency of the GCC statistic roughly corresponds to the one of the SCC statistic neglecting the contribution of nonGaussian tails. This remarkable property is checked by performing the Monte Carlo simulations and successful agreement between analytic and simulation results was found.
 Authors:
 Department of Physics, University of Tokyo, Tokyo 1130033 (Japan)
 Research Center for the Early Universe (RESCEU), School of Science, University of Tokyo, Tokyo 1130033 (Japan)
 (United States)
 Publication Date:
 OSTI Identifier:
 20935197
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.75.022003; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; COMPUTERIZED SIMULATION; DATA ANALYSIS; GRAVITATIONAL WAVE DETECTORS; GRAVITATIONAL WAVES; MONTE CARLO METHOD; PERFORMANCE; PROBABILITY; STOCHASTIC PROCESSES
Citation Formats
Himemoto, Yoshiaki, Hiramatsu, Takashi, Taruya, Atsushi, Kudoh, Hideaki, and Department of Physics, University of California, Santa Barbara, California 93106. Detecting a stochastic background of gravitational waves in the presence of nonGaussian noise: A performance of generalized crosscorrelation statistic. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.022003.
Himemoto, Yoshiaki, Hiramatsu, Takashi, Taruya, Atsushi, Kudoh, Hideaki, & Department of Physics, University of California, Santa Barbara, California 93106. Detecting a stochastic background of gravitational waves in the presence of nonGaussian noise: A performance of generalized crosscorrelation statistic. United States. doi:10.1103/PHYSREVD.75.022003.
Himemoto, Yoshiaki, Hiramatsu, Takashi, Taruya, Atsushi, Kudoh, Hideaki, and Department of Physics, University of California, Santa Barbara, California 93106. Mon .
"Detecting a stochastic background of gravitational waves in the presence of nonGaussian noise: A performance of generalized crosscorrelation statistic". United States.
doi:10.1103/PHYSREVD.75.022003.
@article{osti_20935197,
title = {Detecting a stochastic background of gravitational waves in the presence of nonGaussian noise: A performance of generalized crosscorrelation statistic},
author = {Himemoto, Yoshiaki and Hiramatsu, Takashi and Taruya, Atsushi and Kudoh, Hideaki and Department of Physics, University of California, Santa Barbara, California 93106},
abstractNote = {We discuss a robust data analysis method to detect a stochastic background of gravitational waves in the presence of nonGaussian noise. In contrast to the standard crosscorrelation (SCC) statistic frequently used in the stochastic background searches, we consider a generalized crosscorrelation (GCC) statistic, which is nearly optimal even in the presence of nonGaussian noise. The detection efficiency of the GCC statistic is investigated analytically, particularly focusing on the statistical relation between the falsealarm and the falsedismissal probabilities, and the minimum detectable amplitude of gravitationalwave signals. We derive simple analytic formulas for these statistical quantities. The robustness of the GCC statistic is clarified based on these formulas, and one finds that the detection efficiency of the GCC statistic roughly corresponds to the one of the SCC statistic neglecting the contribution of nonGaussian tails. This remarkable property is checked by performing the Monte Carlo simulations and successful agreement between analytic and simulation results was found.},
doi = {10.1103/PHYSREVD.75.022003},
journal = {Physical Review. D, Particles Fields},
number = 2,
volume = 75,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2007},
month = {Mon Jan 15 00:00:00 EST 2007}
}

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