Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-10-02
Class.Quant.Grav.26:175009,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, 8 figures
Scientific paper
10.1088/0264-9381/26/17/175009
The use of the loudest observed event to generate statistical statements about rate and strength has become standard in searches for gravitational waves from compact binaries and pulsars. The Bayesian formulation of the method is generalized in this paper to allow for uncertainties both in the background estimate and in the properties of the population being constrained. The method is also extended to allow rate interval construction. Finally, it is shown how to combine the results from multiple experiments and a comparison is drawn between the upper limit obtained in a single search and the upper limit obtained by combining the results of two experiments each of half the original duration. To illustrate this, we look at an example case, motivated by the search for gravitational waves from binary inspiral.
Biswas Ranjit
Brady Patrick R.
Creighton Jolien D. E.
Fairhurst Stephen
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