Choquet risk ranks valid possibilistic inferential models by linking their efficiency to expected performance of induced confidence sets under concentration penalties.
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The IM interval is the shortest valid prior-free procedure for the Behrens-Fisher problem, established via cylindrical predictive random sets, minimaxity, admissibility, and a projection argument.
Inferential models predict unobserved auxiliary values via calibrated predictive random sets before transferring plausibility to parameters, yielding valid uncertainty statements that relate fiducial, confidence, and belief-function approaches.
citing papers explorer
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Efficiency of Valid Inferential Models: Choquet-risk Optimal Possibility Measures, and Direct Comparisons
Choquet risk ranks valid possibilistic inferential models by linking their efficiency to expected performance of induced confidence sets under concentration penalties.
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Revisiting the Behrens-Fisher Problem: Validity-First Optimality
The IM interval is the shortest valid prior-free procedure for the Behrens-Fisher problem, established via cylindrical predictive random sets, minimaxity, admissibility, and a projection argument.
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Inferential Models: The Power of Auxiliary Variables for Reasoning with Scientific Uncertainty
Inferential models predict unobserved auxiliary values via calibrated predictive random sets before transferring plausibility to parameters, yielding valid uncertainty statements that relate fiducial, confidence, and belief-function approaches.