Manuscript Psy01-A@1 · Psy01-A.tex · section · 94477fa3

Observables

Definitions and exact pruning operators › Observables · lines 281–300

All probabilities below are fractions in $[0, 1]$ , not percentages. Unless stated otherwise, cue diagnostics use $σ = 0$ . Define

q_{v} (θ) q_{a} (θ) q_{w} (θ) Δ (θ) q_{0} (θ) Δ_{0} (θ) A_{θ} (α) S_{θ} (σ) = P {g_{θ} (X, c_{v}; 0) = Y}, = P {g_{θ} (X, c_{a}; 0) = π (Y)}, = P {g_{θ} (X, c_{a}; 0) = Y}, = q_{v} (θ) - q_{w} (θ), = P {g_{θ} (X, 0; 0) = Y}, = q_{v} (θ) - q_{0} (θ), = P {g_{θ} (X, c_{α}; 0) = Y}, = P {g_{θ} (X, c_{v}; σ, G) = Y} .

We abbreviate $A_{θ} = A_{θ} (1/2)$ .

Displayed formulas in this passage

unlabeled · line 286
$q_{v} (θ) q_{a} (θ) q_{w} (θ) Δ (θ) q_{0} (θ) Δ_{0} (θ) A_{θ} (α) S_{θ} (σ) = P {g_{θ} (X, c_{v}; 0) = Y}, = P {g_{θ} (X, c_{a}; 0) = π (Y)}, = P {g_{θ} (X, c_{a}; 0) = Y}, = q_{v} (θ) - q_{w} (θ), = P {g_{θ} (X, 0; 0) = Y}, = q_{v} (θ) - q_{0} (θ), = P {g_{θ} (X, c_{α}; 0) = Y}, = P {g_{θ} (X, c_{v}; σ, G) = Y} .$