TEMPONEST: A bayesian approach to pulsar timing analysis

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 dispe...

Full description

Bibliographic Details
Main Authors: Lentati, L., Alexander, P., Hobson, P., Feroz, F., van Haasteren, R., Lee, K., Shannon, Ryan
Format: Journal Article
Published: 2014
Online Access:http://hdl.handle.net/20.500.11937/41689
_version_ 1848756214853271552
author Lentati, L.
Alexander, P.
Hobson, P.
Feroz, F.
van Haasteren, R.
Lee, K.
Shannon, Ryan
author_facet Lentati, L.
Alexander, P.
Hobson, P.
Feroz, F.
van Haasteren, R.
Lee, K.
Shannon, Ryan
author_sort Lentati, L.
building Curtin Institutional Repository
collection Online Access
description 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 parametrizes the power at individual frequencies in the signal. We use TEMPONEST to show that at noise levels representative of current data sets in the European Pulsar Timing Array and International Pulsar Timing Array 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.
first_indexed 2025-11-14T09:08:39Z
format Journal Article
id curtin-20.500.11937-41689
institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T09:08:39Z
publishDate 2014
recordtype eprints
repository_type Digital Repository
spelling curtin-20.500.11937-416892017-09-13T14:15:44Z TEMPONEST: A bayesian approach to pulsar timing analysis Lentati, L. Alexander, P. Hobson, P. Feroz, F. van Haasteren, R. Lee, K. Shannon, Ryan 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 parametrizes the power at individual frequencies in the signal. We use TEMPONEST to show that at noise levels representative of current data sets in the European Pulsar Timing Array and International Pulsar Timing Array 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. 2014 Journal Article http://hdl.handle.net/20.500.11937/41689 10.1093/mnras/stt2122 unknown
spellingShingle Lentati, L.
Alexander, P.
Hobson, P.
Feroz, F.
van Haasteren, R.
Lee, K.
Shannon, Ryan
TEMPONEST: A bayesian approach to pulsar timing analysis
title TEMPONEST: A bayesian approach to pulsar timing analysis
title_full TEMPONEST: A bayesian approach to pulsar timing analysis
title_fullStr TEMPONEST: A bayesian approach to pulsar timing analysis
title_full_unstemmed TEMPONEST: A bayesian approach to pulsar timing analysis
title_short TEMPONEST: A bayesian approach to pulsar timing analysis
title_sort temponest: a bayesian approach to pulsar timing analysis
url http://hdl.handle.net/20.500.11937/41689