RootedEstimatorRange.lean`

4 declarations, 0 contain sorry, 0 declared as axioms

Output range on every execution of the finite-word estimator

lemma OAI.ContingencyTables.RootedOracleDensity.observed_ratio_bounds line 19
lemma OAI.ContingencyTables.RootedOracleDensity.observed_correction_bounds line 30

theorem OAI.ContingencyTables.RootedOracleDensity.estimateValue_range line 47

Source documentation

These bounds hold for every Boolean input, including executions on which the empirical averages are statistically inaccurate.

theorem estimateValue_range (A : Instance I J) (R : RootedCompletion.Selection A.T) (C : ℕ) (hC : 0 < C) (z : View A → ℕ)
    (hz : BalancedBox.InBox (bounds A) z) (K : ℕ) (hK : 1 ≤ K) (hW : 100*A.d*K ≤ A.W)
    (hB : (K:ℝ)=binWidth A C) (j : ℕ) (hj : j ≤ rationalHeight A C)
    (delta failure : ℚ) (hd : 0 < delta) (hd1 : delta < 1) (hf : 0 < failure)
    (v : Grid (I := Fin (dimension A)) K) (draws : EstimatorInput A C K j delta failure) :
…

Mentions: OAI.ContingencyTables.RootedCompletion.Selection, OAI.ContingencyTables.BalancedBox.InBox

theorem OAI.ContingencyTables.RootedOracleDensity.estimateValue_positive line 87