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  TempoNest: A Bayesian approach to pulsar timing analysis

Lentati, L., Alexander, P., Hobson, M. P., Feroz, F., van Haasteren, R., Lee, K., et al. (2014). TempoNest: A Bayesian approach to pulsar timing analysis. Monthly Notices of the Royal Astronomical Society, 437(3), 3004-3023. doi:10.1093/mnras/stt2122.

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 Creators:
Lentati, Lindley, Author
Alexander, Paul, Author
Hobson, Michael P., Author
Feroz, Farhan, Author
van Haasteren, Rutger1, Author           
Lee, Kejia, Author
Shannon, Ryan M., Author
Affiliations:
1Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_24011              

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Free keywords: Astrophysics, Instrumentation and Methods for Astrophysics, astro-ph.IM, Astrophysics, Galaxy Astrophysics, astro-ph.GA
 Abstract: A new Bayesian software package for the analysis of pulsar timing data is presented in the form of TempoNest which allows for the robust determination of the non-linear pulsar timing solution simultaneously with a range of additional stochastic parameters. This includes both red spin noise and dispersion measure variations using either power law descriptions of the noise, or through a model-independent method that parameterises the power at individual frequencies in the signal. We use TempoNest to show that at noise levels representative of current datasets in the European Pulsar Timing Array (EPTA) and International Pulsar Timing Array (IPTA) the linear timing model can underestimate the uncertainties of the timing solution by up to an order of magnitude. We also show how to perform Bayesian model selection between different sets of timing model and stochastic parameters, for example, by demonstrating that in the pulsar B1937+21 both the dispersion measure variations and spin noise in the data are optimally modelled by simple power laws. Finally we show that not including the stochastic parameters simultaneously with the timing model can lead to unpredictable variation in the estimated uncertainties, compromising the robustness of the scientific results extracted from such analysis.

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 Dates: 2013-10-082014
 Publication Status: Published in print
 Pages: 21 pages, 12 Figures
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Degree: -

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Title: Monthly Notices of the Royal Astronomical Society
Source Genre: Journal
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Publ. Info: Oxford : Blackwell Science
Pages: - Volume / Issue: 437 (3) Sequence Number: - Start / End Page: 3004 - 3023 Identifier: ISSN: 1365-8711
CoNE: https://pure.mpg.de/cone/journals/resource/1000000000024150