Manuscript Psy03-B@1 · Psy03-B-v1.tex · definition · 8ca3caf9

Definition: Certified threshold decision

Feedback-aware threshold and severity certification › Fresh challenge blocks · lines 1267–1284

Psy03-B@1#def:decision

For fixed $q_{*} \in (0, 1)$ , set

L_{t} = max {0, Q_{t}^{-} - r_{t}}, U_{t} = min {1, Q_{t}^{-} + r_{t}} .

Declare:

certified crossing, certified noncrossing, unresolved, U_{t} < q_{*}; L_{t} \geq q_{*}; otherwise .

The action on an unresolved record is predeclared. The appendix uses no deletion on unresolved records.

Displayed formulas in this passage

unlabeled · line 1270
$L_{t} = max {0, Q_{t}^{-} - r_{t}}, U_{t} = min {1, Q_{t}^{-} + r_{t}} .$
unlabeled · line 1275
$certified crossing, certified noncrossing, unresolved, U_{t} < q_{*}; L_{t} \geq q_{*}; otherwise .$