TY  - JOUR
AU  - Gariazzo, S.
PY  - 2020
DA  - 2020//
TI  - Constraining power of open likelihoods, made prior-independent
T2  - Eur. Phys. J. C
JO  - European Physical Journal C
SP  - 552
EP  - 6pp
VL  - 80
IS  - 6
PB  - Springer
AB  - 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, we revive a simple method to obtain constraints that depend neither on the prior shape nor range and, using the tools of Bayesian model comparison, extend it to overcome the possible dependence of the bounds on the choice of free parameters in the numerical analysis. An application to the case of cosmological bounds on the sum of the neutrino masses is discussed as an example.
SN  - 1434-6044
UR  - https://arxiv.org/abs/1910.06646
UR  - https://doi.org/10.1140/epjc/s10052-020-8126-0
DO  - 10.1140/epjc/s10052-020-8126-0
LA  - English
N1  - WOS:000542940000007
ID  - Gariazzo2020
ER  -