
Physics and Astronomy Faculty Publications and Presentations
Document Type
Article
Publication Date
9-7-2023
Abstract
We explore the use of Gibbs sampling in estimating the noise properties of individual pulsars and illustrate its effectiveness using the NANOGrav 11-year dataset. We find that Gibbs sampling noise modeling (GM) is more efficient than the current standard Bayesian techniques (SM) for single pulsar analyses by yielding model parameter posteriors with average effective-sample-size ratio (GM/SM) of 6 across all parameters and pulsars. 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 measure the spatial cross-correlations between pulsar pairs produced by a gravitational wave background.
Recommended Citation
Laal, Nima, William G. Lamb, Joseph D. Romano, Xavier Siemens, Stephen R. Taylor, and Rutger van Haasteren. "Exploring the capabilities of Gibbs sampling in pulsar timing arrays." Physical Review D 108, no. 6 (2023): 063008. https://doi.org/10.1103/PhysRevD.108.063008
Publication Title
Physical Review D
DOI
https://doi.org/10.1103/PhysRevD.108.063008
Comments
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