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.
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This page is a summary of: A frequentist framework of inductive reasoning, Sankhya A, August 2012, Springer Science + Business Media, DOI: 10.1007/s13171-012-0020-x.
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