title: Toward the detection of gravitational waves under non-Gaussian noises I. Locally optimal statistic.
abstract: After reviewing the standard hypothesis test and the matched filter technique to identify gravitational waves under Gaussian noises, we introduce two methods to deal with non-Gaussian stationary noises. We formulate the likelihood ratio function under weakly non-Gaussian noises through the Edgeworth expansion and strongly non-Gaussian noises in terms of a new method we call Gaussian mapping where the observed marginal distribution and the two-body correlation function are fully taken into account. We then apply these two approaches to Student's t-distribution which has a larger tails than Gaussian. It is shown that while both methods work well in the case the non-Gaussianity is small, only the latter method works well for highly non-Gaussian case.
authors.affiliation: Research Center for the Early Universe (RESCEU), Graduate School of Science, The University of Tokyo.
authors.forename: Jun'ichi
authors.initials: J
authors.lastname: Yokoyama
mesh_terms: D006112:Gravitation; D008962:Models, Theoretical