http://arxiv.org/abs/1910.06646
One of the most criticized features of Bayesian statistics is the fact that credible intervals, especially when open likelihoods are involved, may strongly depend on the prior shape and range. Many analyses involving open likelihoods are affected by the eternal dilemma of choosing between linear and logarithmic prior, and in particular in the latter case the situation is worsened by the dependence on the prior range under consideration. In this letter, using the tools of Bayesian model comparison, we propose a simple method to obtain constraints that depend neither on the prior shape nor range. An application to the case of cosmological bounds on the sum of the neutrino masses is discussed as an example.
S. Gariazzo
Wed, 16 Oct 19
48/56
Comments: 5 pages, 2 figures