RA Fisher, the father of modern statistics, proposed the idea of fiducial inference during the
first half of the 20th century. While his proposal led to interesting methods for quantifying …

In frequentist inference, we commonly use a single point (point estimator) or an interval
(confidence interval/“interval estimator”) to estimate a parameter of interest. A very simple …

Mounting failures of replication in social and biological sciences give a new urgency to
critically appraising proposed reforms. This book pulls back the cover on disagreements …

Vladimir Vovk Alexander Gammerman Glenn Shafer Second Edition Page 1 Vladimir Vovk
Alexander Gammerman Glenn Shafer Algorithmic Learning in a Random World Second …

This lively book lays out a methodology of confidence distributions and puts them through
their paces. Among other merits they lead to optimal combinations of confidence from …

For a broad class of multilevel models, there exist two well-known competing
parameterizations, the centered parameterization (CP) and the non-centered …

Posterior probabilistic statistical inference without priors is an important but so far elusive
goal. Fisher's fiducial inference, Dempster–Shafer theory of belief functions, and Bayesian …

A fundamental concern of a theory of statistical inference is how one should measure
statistical evidence. Certainly the words “statistical evidence,” or perhaps just “evidence,” are …

This article develops a unifying framework, as well as robust meta-analysis approaches, for
combining studies from independent sources. The device used in this combination is a …

Satellite conjunction analysis is the assessment of collision risk during a close encounter
between a satellite and another object in orbit. A counterintuitive phenomenon has emerged …