Confidence distributions and coherence
What is it about?
Q. What is a confidence distribution? A. A parameter probability distribution that encodes all confidence intervals for a given data set, model, and pivot. This article establishes some properties of the confidence distribution that may commend it as a viable alternative to the Bayesian posterior distribution.
Why is it important?
This paper presents a framework based on both confidence (correct frequentist coverage) and coherence (compliance with minimal restrictions on rational decisions) as desirable properties. It demonstrates that only distributions on a scalar parameter space that have both properties are confidence distributions.
The following have contributed to this page: David R. Bickel