Gravitational wave chirp search: no-signal cumulative distribution of the maximum likelihood detection statistic

Details Gravitational wave chirp search: no-signal cumulative distribution of the maximum likelihood detection statistic Gravitational wave chirp search: no-signal cumulative distribution of the maximum likelihood detection statistic

Sep 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003cqgra..20s.803c&link_type=abstract

Classical and Quantum Gravity, Volume 20, Issue 17, pp. S803-S813 (2003).

Physics

2

Scientific paper

The cumulative distribution of the supremum of a set (bank) of correlators is investigated in the context of maximum likelihood detection of gravitational wave chirps from coalescing binaries with unknown parameters. Accurate (lower-bound) approximants are introduced based on a suitable generalization of previous results by Mohanty. Asymptotic properties (in the limit where the number of correlators goes to infinity) are highlighted. The validity of numerical simulations made on small-size banks is extended to banks of any size, via a Gaussian correlation inequality.

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