Theorems · Theorem · probability
ProbabilityTheory.isProbabilityMeasure_gammaMeasure
∀ {a r : ℝ}, 0 < a → 0 < r → MeasureTheory.IsProbabilityMeasure (ProbabilityTheory.gammaMeasure a r)- Defined in
- Mathlib.Probability.Distributions.Gamma
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 284 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.lintegralproof · cited by 1,152
- MeasureTheory.IsProbabilityMeasurestatement · cited by 392
- MeasureTheory.Measure.restrict_univproof · cited by 76
- MeasureTheory.withDensity_applyproof · cited by 73
- ProbabilityTheory.gammaPDFproof · cited by 8
- ProbabilityTheory.gammaMeasurestatement · cited by 3
- ProbabilityTheory.lintegral_gammaPDF_eq_oneproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- ProbabilityTheory.cdf_gammaMeasure_eq_lintegralproof · cited by 1
- ProbabilityTheory.cdf_gammaMeasure_eq_integralproof · cited by 1
- ProbabilityTheory.isProbabilityMeasure_expMeasureproof · cited by 0