Bayesian parameter estimation of continuous gravitational waves from known pulsars

Continuous gravitational wave (CW) searches targeted at known pulsars utilize electromagnetic observations of the sources to infer the phase-evolution parameters of the gravitational wave signal. We present a new method to perform Bayesian estimation of the amplitude parameters of a CW signal. The method leverages the well-established CW detection statistic, the F-statistic, and modern stochastic samplers to build Bayesian posteriors of the unknown signal parameters. After testing the method, we apply it on putative gravitational wave signals from PSR J1526-2744, a recentlydiscovered milli-second pulsar.