Theorems · Theorem · probability
ProbabilityTheory.poissonMeasure_singleton
∀ (r : NNReal) (n : ℕ),
(ProbabilityTheory.poissonMeasure r) {n} = ENNReal.ofReal (Real.exp (-↑r) * ↑r ^ n / ↑n.factorial)- 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- NNReal.toRealstatement and proof · cited by 1,260
- Real.expstatement and proof · cited by 871
- ENNReal.ofRealstatement and proof · cited by 863
- Nat.factorialstatement and proof · cited by 616
- ProbabilityTheory.poissonMeasurestatement · cited by 16
- MeasureTheory.Measure.sum_smul_dirac_singletonproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.poissonMeasure_real_singletonproof · cited by 1
- ProbabilityTheory.binomial_tendsto_poissonPMFReal_atTopproof · cited by 0