Theorems · Theorem · probability
ProbabilityTheory.measurable_paretoPDFReal
∀ (t r : ℝ), Measurable (ProbabilityTheory.paretoPDFReal t r)
The Pareto pdf is measurable.
- Defined in
- Mathlib.Probability.Distributions.Pareto
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Measurablestatement · cited by 1,499
- measurable_constproof · cited by 156
- measurable_idproof · cited by 89
- Measurable.pow_constproof · cited by 26
- measurableSet_Iciproof · cited by 26
- Measurable.const_mulproof · cited by 19
- Measurable.iteproof · cited by 8
- ProbabilityTheory.paretoPDFRealstatement · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.lintegral_paretoPDF_eq_oneproof · cited by 1
- ProbabilityTheory.stronglyMeasurable_paretoPDFRealproof · cited by 1