The e-value: a fully Bayesian significance measure for precise statistical hypotheses and its research program

CAB Pereira, JM Stern - São Paulo Journal of Mathematical Sciences, 2022 - Springer
This article gives a survey of the e-value, a statistical significance measure aka the evidence
rendered by observational data, X, in support of a statistical hypothesis, H, or, the other way …

The e-value and the full Bayesian significance test: logical properties and philosophical consequences

JM Stern, CAB Pereira, MS Lauretto… - arXiv preprint arXiv …, 2022 - arxiv.org
This article gives a conceptual review of the e-value, ev (H| X)--the epistemic value of
hypothesis H given observations X. This statistical significance measure was developed in …

Approximate Bayesian computation with modified log-likelihood ratios

L Ventura, N Reid - Metron, 2014 - Springer
The aim of this contribution is to discuss approximate Bayesian computation based on the
asymptotic theory of modified likelihood roots and log-likelihood ratios. Results on third …

Higher-order Bayesian approximations for pseudo-posterior distributions

E Ruli, L Ventura - Communications in Statistics-Simulation and …, 2016 - Taylor & Francis
The theory of higher-order asymptotics provides accurate approximations to posterior
distributions for a scalar parameter of interest, and to the corresponding tail area, for …

The e-value: A Fully Bayesian Significance Measure for Precise Statistical Hypotheses and its Research Program

JM Stern, CAB Pereira - arXiv preprint arXiv:2001.10577, 2020 - arxiv.org
This article gives a survey of the e-value, a statistical significance measure aka the evidence
rendered by observational data, X, in support of a statistical hypothesis, H, or, the other way …

Approximate Inference for the Bayesian Discrepancy Measure for Precise Statistical Hypotheses

E Bortolato, F Bertolino, M Musio, L Ventura - Scientific Meeting of the …, 2024 - Springer
The aim of this paper is to introduce higher-order expansions for the Bayesian Discrepancy
Measure for testing precise statistical hypotheses on a scalar parameter of interest …