Model Selection for Gravitational Wave Sources

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

An important class of gravitational wave sources for the Laser Interferometer Space Antenna (LISA) are the millions of low-mass binary systems within our own galaxy. Of particular interest are those systems that show measurable orbital frequency evolution during the LISA mission lifetime. Determining when the frequency evolution should be included as a model parameter in the signal analysis can be phrased as a model selection problem. In the Bayesian approach to model selection one needs to compute the Bayes factor for competing models. We investigate various methods for estimating the Bayes factors for the frequency evolution problem and compare the results. The methods applied include Reverse Jump Markov Chain Monte Carlo, Savage-Dickie density ratios, the Schwarz-Bayes Information Criteria, and Laplace-Metropolis estimates. We find good agreement between all the approaches.

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