SciPost Physics Lecture Notes

SciPost Phys. Lect. Notes 9 (2019) · published 19 June 2019

• doi: 10.21468/SciPostPhysLectNotes.9
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Abstract

We review some of the common methods for model selection: the goodness of fit, the likelihood ratio test, Bayesian model selection using Bayes factors, and the classical as well as the Bayesian information theoretic approaches. We illustrate these different approaches by comparing models for the expansion history of the Universe. In the discussion we highlight the premises and objectives entering these different approaches to model selection and finally recommend the information theoretic approach.

• Holanda et al., On a possible cosmological evolution of galaxy cluster YX−YSZE scaling relation
  J. Cosmol. Astropart. Phys. 2020, 027 (2020) [Crossref]
• da Silva et al., Bayesian comparison of the cosmic duality scenarios
  Phys. Rev. D 102, 063513 (2020) [Crossref]
• Perivolaropoulos et al., Hubble tension or a transition of the Cepheid SnIa calibrator parameters?
  Phys. Rev. D 104, 123511 (2021) [Crossref]
• Chaudhary et al., Cosmological test of dark energy parameterizations in Hořava–Lifshitz gravity
  Eur. Phys. J. C 84, 223 (2024) [Crossref]
• Srivastava et al., Noise analysis of the Indian Pulsar Timing Array data release I
  Phys. Rev. D 108, 023008 (2023) [Crossref]
• Campos et al., An empirical approach to model selection: weak lensing and intrinsic alignments
  525, 1885 (2023) [Crossref]
• Bhagvati et al., Bayesian analysis of time dependence of DAMA annual modulation amplitude
  J. Cosmol. Astropart. Phys. 2021, 022 (2021) [Crossref]
• Desai et al., Search for Lorentz invariance violation using Bayesian model comparison applied to Xiao et al. GRB spectral lag catalog
  Eur. Phys. J. C 83, 63 (2023) [Crossref]
• Raveri et al., Quantifying concordance of correlated cosmological data sets
  Phys. Rev. D 101, 103527 (2020) [Crossref]
• Grandis et al., Exploring the contamination of the DES-Y1 cluster sample with SPT-SZ selected clusters
  504, 1253 (2021) [Crossref]
• Chaudhary et al., Early and late observational tension: dark energy parametrizations in horava-lifshitz gravity via baryon acoustic oscillations
  Phys. Scr. 99, 105037 (2024) [Crossref]
• Röver et al., Partition function approach to non-Gaussian likelihoods: formalism and expansions for weakly non-Gaussian cosmological inference
  523, 2027 (2023) [Crossref]
• Chaudhary et al., Cosmological test of dark energy parametrizations within the framework of Horava-Lifshitz gravity via baryon acoustic oscillation
  Chinese Phys. C 48, 115109 (2024) [Crossref]
• Agrawal et al., Search for Lorentz Invariance Violation from stacked Gamma-Ray Burst spectral lag data
  J. Cosmol. Astropart. Phys. 2021, 029 (2021) [Crossref]
• Singirikonda et al., Model comparison of $$\Lambda $$CDM vs $$R_h=ct$$ using cosmic chronometers
  Eur. Phys. J. C 80, 694 (2020) [Crossref]