Theorems · Definition · probability
ProbabilityTheory.poissonMeasure
NNReal → MeasureTheory.Measure ℕ
The poisson measure with rate r : ℝ≥0 as a measure over ℕ.
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 192 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.
- MeasureTheory.Measurestatement · cited by 10,939
- NNRealstatement and proof · cited by 4,310
- NNReal.toRealproof · cited by 1,260
- Real.expproof · cited by 871
- ENNReal.ofRealproof · cited by 863
- Nat.factorialproof · cited by 616
- MeasureTheory.Measure.diracproof · cited by 210
- MeasureTheory.Measure.sumproof · cited by 121
Cited by16
Results whose statement or proof uses this declaration.
- ProbabilityTheory.poissonMeasure_conv_poissonMeasurestatement and proof · cited by 2
- ProbabilityTheory.poissonMeasure_singletonstatement · cited by 2
- ProbabilityTheory.integral_poissonMeasurestatement · cited by 2
- ProbabilityTheory.poissonMeasure_real_singletonstatement and proof · cited by 1
- ProbabilityTheory.hasSum_integral_poissonMeasurestatement and proof · cited by 1
- ProbabilityTheory.integral_poissonMeasure'statement and proof · cited by 1
- ProbabilityTheory.integrable_map_cast_poissonMeasure_iffstatement · cited by 1
- ProbabilityTheory.integrable_poissonMeasure_iffstatement · cited by 1
- ProbabilityTheory.map_cast_poissonMeasure_convstatement and proof · cited by 1
- ProbabilityTheory.poissonMeasure_real_singleton_posstatement · cited by 0
- ProbabilityTheory.charFun_map_cast_poissonMeasurestatement · cited by 0
- ProbabilityTheory.integral_map_cast_poissonMeasurestatement · cited by 0