On marginals and profiled posteriors for cosmological parameter estimation
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929573537513472 |
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| author | Kerscher, Martin Weller, Jochen |
| author_facet | Kerscher, Martin Weller, Jochen |
| contents | With several examples and in an analysis of the Pantheon+ supernova sample we discuss the properties of the marginal posterior distribution versus the profiled posterior distribution -- the profile likelihood in a Bayesian disguise. We investigate whether maximisation, as used for the profiling, or integration, as used for the marginalisation, is more appropriate. To report results we recommend the marginal posterior distribution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02063 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On marginals and profiled posteriors for cosmological parameter estimation Kerscher, Martin Weller, Jochen Cosmology and Nongalactic Astrophysics Data Analysis, Statistics and Probability With several examples and in an analysis of the Pantheon+ supernova sample we discuss the properties of the marginal posterior distribution versus the profiled posterior distribution -- the profile likelihood in a Bayesian disguise. We investigate whether maximisation, as used for the profiling, or integration, as used for the marginalisation, is more appropriate. To report results we recommend the marginal posterior distribution. |
| title | On marginals and profiled posteriors for cosmological parameter estimation |
| topic | Cosmology and Nongalactic Astrophysics Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/2408.02063 |