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

Autor:	R. P. Croce, Innocenzo M. Pinto, Maurizio Longo, Vincenzo Matta, Stefano Marano, Vincenzo Pierro, T. Demma
Přispěvatelé:	Croce, R. P., Demma, Th., Maurizio, Longo, Marano, S., Matta, V., Pierro, V., Pinto, I. M.
Rok vydání:	2003
Předmět:	Physics symbols.namesake Physics and Astronomy (miscellaneous) Gravitational wave Cumulative distribution function Gaussian Chirp symbols Applied mathematics Context (language use) Limit (mathematics) Correlation inequality Infimum and supremum
Zdroj:	Classical and Quantum Gravity. 20:S803-S813
ISSN:	1361-6382 0264-9381
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f9551619f8f837da3e06ee21763cc89 https://doi.org/10.1088/0264-9381/20/17/323 Zobrazit plný text záznamu