8 problems

Let $\psi$ denote the mean contrast and let $\xi$ denote the variance ratio in the Behrens--Fisher problem. Consider prior-free procedures that are exactly and uniformly valid for…

Profile-over-extension efficiency conjecture. Profile-based marginalization is more efficient than extension-based marginalization in finite samples.

Normalized-likelihood conjecture. The possibilistic IM based on the normalized likelihood should have the same large-sample properties as the IM in Theorem, but under weaker condit…

Asymptotic efficiency conjecture. Despite the imprecision inherent in an IM, which is necessary to achieve exact validity, there is no loss of efficiency asymptotically.

An inferential model (IM) produces a coherent lower and upper probability and has strong validity, meaning that its plausibility contour is stochastically no smaller than uniform u…

An inferential model (IM) is constructed from a statistical model with parameter $Theta$ and sampling distribution $\mathsf{P}_{Y|\theta}$; its plausibility contour is driven by th…

Let $Q_y$ be a data-dependent precise probability on a parameter space $\Theta$, and let $A\subseteq\Theta$ be a problematic assertion such that … Define … Let…

A probabilistic predictor is a rule assigning predictive probabilities to subsets of possible values of $Y_{n+1}$, and its plausibility contour is the function defined by the sourc…