On Model Selection in Cosmology. (arXiv:1901.07726v2 [astro-ph.CO] UPDATED)
<a href="http://arxiv.org/find/astro-ph/1/au:+Kerscher_M/0/1/0/all/0/1">Martin Kerscher</a> (LMU Munich), <a href="http://arxiv.org/find/astro-ph/1/au:+Weller_J/0/1/0/all/0/1">Jochen Weller</a> (LMU Munich, MPE, Origins)
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.
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.
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