Theorems · Theorem · probability
ProbabilityTheory.stronglyMeasurable_paretoPDFReal
∀ (t r : ℝ), MeasureTheory.StronglyMeasurable (ProbabilityTheory.paretoPDFReal t r)
The Pareto pdf is strongly measurable.
- Defined in
- Mathlib.Probability.Distributions.Pareto
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- MeasureTheory.StronglyMeasurablestatement · cited by 363
- Measurable.stronglyMeasurableproof · cited by 47
- ProbabilityTheory.paretoPDFRealstatement · cited by 5
- ProbabilityTheory.measurable_paretoPDFRealproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.cdf_paretoMeasure_eq_integralproof · cited by 0