import Mathlib.MeasureTheory.Integral.Prod namespace OAI noncomputable section open MeasureTheory namespace Invariant233.BiasedTailDensity def tailDensity {P Z : Type*} [MeasurableSpace P] [MeasurableSpace Z] (μ : Measure P) (g : P × Z → ℝ) (z : Z) : ℝ := ∫ u, g (u, z) ∂μ end Invariant233.BiasedTailDensity end end OAI