2007/10/02 by Rahul Biswas, R. Biswas, P. R. Brady +5 · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Pulsars and Gravitational Waves Research #Statistical Mechanics and Entropy #gr-qc
paper · pdf · doi:10.1088/0264-9381/26/17/175009
published as Class.Quant.Grav.26:175009,2009 · 11 pages, 8 figures
arxiv created 2007/10/02 · openalex publication_date 2009/08/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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.