6 problems
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Weiss's conjecture on -admissibility and the resolvent condition
Let and be Hilbert spaces, and let be an input operator. The resolvent condition is the estimate denoted by … should be equivalent when and are Hilbert spaces.…
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Brown's admissibility conjecture for power-growth priors
Brown's conjecture. The prior leads to an admissible estimator, regardless of the density and the loss function .
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Hereditary admissibility conjecture for hereditarily structurally complete intermediate logics
Let be an intermediate logic which is hereditarily structurally complete. Hereditary admissibility conjecture. Hereditary admissibility is equivalent to admissibility over .…
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Admissibility conjecture for the two-sided interval
Let be the two-sided confidence interval constructed in the paper. Say that has no ties when its defining criterion does not attain tied values. Adm…
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Extension of the admissibility results to modal dependence logic and propositional independence logic
Modal dependence logic and propositional independence logic are logics with disjunctive normal forms similar to those used for propositional logics of dependence. Conjecture. The a…
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Weiss's resolvent characterization conjecture for admissible observation operators
Weiss's conjecture. The resolvent condition should imply that is admissible for ; equivalently, the converse implication from the resolvent estimate to admissibility should…