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Free keywords:
Astrophysics, Instrumentation and Methods for Astrophysics, astro-ph.IM, Astrophysics, Galaxy Astrophysics, astro-ph.GA, Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE
Abstract:
We explore the use of Gibbs sampling in recovering the red noise power
spectral density, the red noise Fourier coefficients, and the white noise
parameters for the case of single pulsar analyses, and illustrate its
effectiveness using the NANOGrav 11-year data set. We find that Gibbs sampling
noise modeling (GM) is superior to the current standard Bayesian techniques
(SM) for single pulsar analyses, yielding model parameter posteriors with
significantly higher computational efficiency and fidelity. Furthermore, the
output of GM contains posteriors for the Fourier coefficients that can be used
to characterize the underlying red noise process of any pulsar's timing
residuals which are absent in current implementations of SM. Through
simulations, we demonstrate the potential for such coefficients to recover the
overall shape of the spatial cross-correlations between pulsar pairs produced
by gravitational waves.
