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Bayesian model comparison for compartmental models with applications in positron emission tomography
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Zhou, Yan, Aston, John A. D. and Johansen, Adam M. (2013) Bayesian model comparison for compartmental models with applications in positron emission tomography. Journal of Applied Statistics, Volume 40 (Number 5). pp. 993-1016. doi:10.1080/02664763.2013.772569 ISSN 0266-4763.
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Official URL: http://dx.doi.org/10.1080/02664763.2013.772569
Abstract
We develop strategies for Bayesian modelling as well as model comparison, averaging and selection for compartmental models with particular emphasis on those that occur in the analysis of positron emission tomography (PET) data. Both modelling and computational issues are considered. Biophysically inspired informative priors are developed for the problem at hand, and by comparison with default vague priors it is shown that the proposed modelling is not overly sensitive to prior specification. It is also shown that an additive normal error structure does not describe measured PET data well, despite being very widely used, and that within a simple Bayesian framework simultaneous parameter estimation and model comparison can be performed with a more general noise model. The proposed approach is compared with standard techniques using both simulated and real data. In addition to good, robust estimation performance, the proposed technique provides, automatically, a characterisation of the uncertainty in the resulting estimates which can be considerable in applications such as PET.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics R Medicine > RC Internal medicine > RC0321 Neuroscience. Biological psychiatry. Neuropsychiatry |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Library of Congress Subject Headings (LCSH): | Tomography, Emission, Bayesian statistical decision theory, Neurosciences, Compartmental analysis (Biology) | ||||
Journal or Publication Title: | Journal of Applied Statistics | ||||
Publisher: | Routledge | ||||
ISSN: | 0266-4763 | ||||
Official Date: | 27 February 2013 | ||||
Dates: |
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Volume: | Volume 40 | ||||
Number: | Number 5 | ||||
Page Range: | pp. 993-1016 | ||||
DOI: | 10.1080/02664763.2013.772569 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 24 December 2015 | ||||
Date of first compliant Open Access: | 24 December 2015 |
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