Manuscript En10-B@1 · En10-B.tex · section · a1105bad

An explicit calibration allowance

Calibration and complete-record finite-shot inference › An explicit calibration allowance · lines 784–802

En10-B@1#eq:calibration-allowance

Set

u_{0} = sin^{2} ϕ_{0}, h_{0} = 1 - γ_{0}, a_{0} = γ_{0} + h_{0} u_{0}, b_{0} = h_{0} (1 - 2 u_{0}) > 0.

Define the exact mean-level calibration allowance

Δ_{cal} = η \in K sup max {∣ γ + h u - a_{0} ∣, ∣ h u - h_{0} u_{0} ∣} .

This supremum exists because the set is compact and its likelihood is continuous.

Displayed formulas in this passage

En10-B@1#eq:calibration-allowance · line 792
$Δ_{cal} = η \in K sup max {∣ γ + h u - a_{0} ∣, ∣ h u - h_{0} u_{0} ∣} .$
unlabeled · line 787
$u_{0} = sin^{2} ϕ_{0}, h_{0} = 1 - γ_{0}, a_{0} = γ_{0} + h_{0} u_{0}, b_{0} = h_{0} (1 - 2 u_{0}) > 0.$