Theorems · Theorem · probability
ProbabilityTheory.gammaPDF_eq
∀ (a r x : ℝ),
ProbabilityTheory.gammaPDF a r x =
ENNReal.ofReal (if 0 ≤ x then r ^ a / Real.Gamma a * x ^ (a - 1) * Real.exp (-(r * x)) else 0)- Defined in
- Mathlib.Probability.Distributions.Gamma
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 257 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
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
- ENNRealstatement · cited by 9,879
- Real.expstatement · cited by 871
- ENNReal.ofRealstatement · cited by 863
- Real.Gammastatement · cited by 76
- ProbabilityTheory.gammaPDFstatement · cited by 8
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