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On marginals and profiled posteriors for cosmological parameter estimation

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arxiv 2408.02063 v2 pith:HX3RTMCR submitted 2024-08-04 astro-ph.CO physics.data-an

Martin Kerscher , Jochen Weller This is my paper · ORCID
classification astro-ph.COphysics.data-an
keywords distributionposteriormarginalprofiledusedanalysisappropriatebayesian
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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.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Constraint on Lorentz Invariance Violation for spectral lag transition in GRB 160625B using profile likelihood

    astro-ph.HE 2024-11 conditional novelty 5.0 of 10

    Using profile likelihood on GRB 160625B spectral lags, the authors report no global chi-square minimum below the Planck scale and set 95% lower limits of 2.55e16 GeV (linear) and 1.85e7 GeV (quadratic) on the LIV ener...

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