Bayesian model comparison applied to the Explorer-Nautilus 2001 coincidence data

Details Bayesian model comparison applied to the Explorer-Nautilus 2001 coincidence data Bayesian model comparison applied to the Explorer-Nautilus 2001 coincidence data

2003-04-24

arxiv.org/abs/gr-qc/0304096v3

Class.Quant.Grav. 20 (2003) S769-S784

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 4 figures. Presented at the GWDAW2002 conference, held in Kyoto on Dec.,2002. This version includes comments by the

Scientific paper

10.1088/0264-9381/20/17/320

Bayesian reasoning is applied to the data by the ROG Collaboration, in which gravitational wave (g.w.) signals are searched for in a coincidence experiment between Explorer and Nautilus. The use of Bayesian reasoning allows, under well defined hypotheses, even tiny pieces of evidence in favor of each model to be extracted from the data. The combination of the data of several experiments can therefore be performed in an optimal and efficient way. Some models for Galactic sources are considered and, within each model, the experimental result is summarized with the likelihood rescaled to the insensitivity limit value (``${\cal R}$ function''). The model comparison result is given in in terms of Bayes factors, which quantify how the ratio of beliefs about two alternative models are modified by the experimental observation

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