Statistics
Scientific paper
Oct 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009cqgra..26t4001p&link_type=abstract
Classical and Quantum Gravity, Volume 26, Issue 20, pp. 204001 (2009).
Statistics
Scientific paper
Two locally optimum interferometer-network statistics for detecting unmodeled gravitational wave bursts in a non-Gaussian impulsive (glitchy) noise background are introduced. These follow from two possible approaches, where the sought transient signals are alternatively assumed as (i) unknown but deterministic or (ii) random. The first approach yields a locally optimum generalized likelihood ratio test detector, based on the maximum likelihood estimate of the gravitational wave signal. The second makes only minimal (least informative) assumptions about the sought signals, and yields a special version of Kassam's generalized-cross-correlation test detector. Both outperform the standard coherent network detector based on the Gaussian noise assumption. In the realistic case where the glitch noise distribution is non-stationary in time, or incompletely characterized, robust versions of these locally optimum network detectors can be effectively used.
Pinto Innocenzo M.
Principe Maria
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