Manuscript En01-B@2 · En01-B-v2.tex · assumption · f226d1eb

Assumption: Calibrated visibility response

From detector records to log-visibility confidence › Route A: invert calibrated event laws · lines 2131–2148

En01-B@2#ass:visibility

At setting $i$ , a fixed attempted-run histogram event satisfies

q_{i} = a_{i} + κ_{i} V_{i} + δ_{i}, ∣ δ_{i} ∣ \leq ϵ_{det, i},

with independently or jointly validated ranges

a_{i} \in [a_{i}^{-}, a_{i}^{+}], 0 < κ_{i}^{-} \leq κ_{i} \leq κ_{i}^{+}, V_{i} \in [V_{m i n}, 1], V_{m i n} > 0.

Preparation acceptance and detection efficiencies are included in the response ranges or estimated jointly from retained flags.

Displayed formulas in this passage

unlabeled · line 2134
$q_{i} = a_{i} + κ_{i} V_{i} + δ_{i}, ∣ δ_{i} ∣ \leq ϵ_{det, i},$
unlabeled · line 2140
$a_{i} \in [a_{i}^{-}, a_{i}^{+}], 0 < κ_{i}^{-} \leq κ_{i} \leq κ_{i}^{+}, V_{i} \in [V_{m i n}, 1], V_{m i n} > 0.$