3 papers
math.ST2026
Bounds on Intrinsic Bayes Factors and Least Favorable Intrinsic Priors for General Statistical Hypothesis Testing
Fernando Betancourt, Richard Clare, Luis Pericchi
Hypothesis Testing is the most contentious procedure in statistical Methodology. P values rejects Null Hypotheses far too easily, specially for large samples. On the other hand, Ba…
stat.ME2026
Objective Model Prior Probabilities in Variable Selection
James Berger, Gonzalo GarcÃa-Donato, ElÃas Moreno +1
For many years it was routine to use equal model prior probabilities in Bayesian model uncertainty analysis. At least twenty years ago it became clear that this was problematic, le…
stat.ME2026
A Modified Bayesian Criterion for Model Selection in Mixed and Hierarchical Frameworks
Diogenes de Jesus Ramirez, Anderson Melchor Hernandez, Isabel Cristina Ramirez +1
In this work, we propose a modified Bayesian Information Criterion (BIC) specifically designed for mixture models and hierarchical structures. This criterion incorporates the deter…