"Gravitational Wave Chirp Search: no-signal Cumulative Distribution of the Maximum Likelihood Detection Statistic"

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