Monte-Carlo and Bayesian techniques in gravitational wave burst data analysis

Abstract

Monte-Carlo simulations are used in the gravitational wave burst detection community to demonstrate and compare the properties of different search techniques. We note that every Monte-Carlo simulation has a corresponding optimal search technique according to both the non-Bayesian Neyman-Pearson criterion and the Bayesian approach, and that this optimal search technique is the Bayesian statistic. When practical, we recommend deriving the optimal statistic for a credible Monte-Carlo simulation, rather than testing ad hoc statistics against that simulation.

9 pages, submitted to GWDAW12 proceedings

References in corpus (2)

• Measuring gravitational waves from binary black hole coalescences: II. the waves' information and its extraction, with and without templates
• Coherent network analysis technique for discriminating gravitational-wave bursts from instrumental noise

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• A Student-t based filter for robust signal detection
• Geometric Approach to Analytic Marginalisation of the Likelihood Ratio for Continuous Gravitational Wave Searches
• Targeted Search for Gravitational Waves from Highly Spinning Light Compact Binaries
• Marginalizing the likelihood function for modeled gravitational wave searches