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Model misspecification in approximate Bayesian computation: consequences and diagnostics

Abstract:

We analyse the behaviour of approximate Bayesian computation (ABC) when the model generating the simulated data differs from the actual data‐generating process, i.e. when the data simulator in ABC is misspecified. We demonstrate both theoretically and in simple, but practically relevant, examples that when the model is misspecified different versions of ABC can yield substantially different results. Our theoretical results demonstrate that even though the model is misspecified, under regulari...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1111/rssb.12356

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Institution:
University of Oxford
Division:
MPLS
Department:
Statistics
Oxford college:
Jesus College
Role:
Author
ORCID:
0000-0002-0998-6174
Publisher:
Wiley Publisher's website
Journal:
Journal of the Royal Statistical Society: Series B Journal website
Volume:
82
Issue:
2
Pages:
421-444
Publication date:
2020-01-08
DOI:
EISSN:
1467-9868
ISSN:
1369-7412
Language:
English
Pubs id:
pubs:1081370
UUID:
uuid:1b5a5f77-60c4-4b46-837e-cdc0d3faea44
Local pid:
pubs:1081370
Source identifiers:
1081370
Deposit date:
2020-01-09

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