Bayesian sampling methods in epidemic and finite mixture models
Bayesian sampling methods in epidemic and finite mixture models
This thesis describes the use of sampling methods in two applications: an epidemic model of tuberculosis (TB) and HIV, and the estimation of the number of components in finite normal mixture models. We use Bayesian statistics for the analysis, which enables us to take into account prior information about parameter values in the case of the epidemic modelling, and smooths the likelihood function when considering finite mixture models. The convergence properties of importance sampling are investigated and methods for diagnosing non-convergence of importance sampling are discussed. We use importance sampling to analyse finite normal mixture models and Marlov Chain Monte Carlo sampling to fit the epidemic model. Results for effectiveness and cost-effectiveness of different interventions against TB and HIV are presented.
University of Southampton
Currie, Christine Susan Mary
f3a5aed3-fb4b-4743-bedc-09998ada1649
2004
Currie, Christine Susan Mary
f3a5aed3-fb4b-4743-bedc-09998ada1649
Currie, Christine Susan Mary
(2004)
Bayesian sampling methods in epidemic and finite mixture models.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
This thesis describes the use of sampling methods in two applications: an epidemic model of tuberculosis (TB) and HIV, and the estimation of the number of components in finite normal mixture models. We use Bayesian statistics for the analysis, which enables us to take into account prior information about parameter values in the case of the epidemic modelling, and smooths the likelihood function when considering finite mixture models. The convergence properties of importance sampling are investigated and methods for diagnosing non-convergence of importance sampling are discussed. We use importance sampling to analyse finite normal mixture models and Marlov Chain Monte Carlo sampling to fit the epidemic model. Results for effectiveness and cost-effectiveness of different interventions against TB and HIV are presented.
Text
1028741.pdf
- Version of Record
More information
Published date: 2004
Identifiers
Local EPrints ID: 466029
URI: http://eprints.soton.ac.uk/id/eprint/466029
PURE UUID: 2ca67ec2-24dd-444b-a9f8-d8a8d8e2b6d0
Catalogue record
Date deposited: 05 Jul 2022 04:03
Last modified: 16 Mar 2024 20:28
Export record
Contributors
Author:
Christine Susan Mary Currie
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics