Mathlib Map

Theorems · Theorem · probability

ProbabilityTheory.lintegral_gammaPDF_eq_one

∀ {a r : ℝ}, 0 < a → 0 < r → ∫⁻ (x : ℝ), ProbabilityTheory.gammaPDF a r x = 1

The pdf of the gamma distribution integrates to 1

Defined in
Mathlib.Probability.Distributions.Gamma
Cited by
2 results in Mathlib
Foundations
Depth 283 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites54

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.