Automatic Bayesian inference for LISA data analysis strategies

We demonstrate the use of automatic Bayesian inference for the analysis of LISA data sets. In particular we describe a new automatic Reversible Jump Markov Chain Monte Carlo method to evaluate the posterior probability density functions of the a priori unknown number of parameters that describe the gravitational wave signals present in the data. We apply the algorithm to a simulated LISA data set containing overlapping signals from white dwarf binary systems and to a separate data set containing a signal from an extreme mass ratio inspiral. We demonstrate that the approach works well in both cases and can be regarded as a viable approach to tackle LISA data analysis challenges.