Theorems · Definition · probability
ProbabilityTheory.binomial
ℕ → ↑unitInterval → MeasureTheory.Measure ℕ
The binomial probability distribution with parameter p.
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 280 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 · cited by 25,697
- MeasureTheory.Measurestatement · cited by 10,939
- Set.Elemstatement and proof · cited by 7,166
- Set.Iioproof · cited by 1,166
- MeasureTheory.Measure.mapproof · cited by 858
- unitIntervalstatement and proof · cited by 607
- Set.ncardproof · cited by 344
- ProbabilityTheory.setBernoulliproof · cited by 19
Cited by20
Results whose statement or proof uses this declaration.
- ProbabilityTheory.binomial_real_singletonstatement · cited by 5
- ProbabilityTheory.map_cast_binomial_real_singletonstatement and proof · cited by 3
- ProbabilityTheory.binomial_eq_sum_diracstatement · cited by 2
- ProbabilityTheory.binomial_singletonstatement and proof · cited by 2
- ProbabilityTheory.integrable_map_cast_binomialstatement · cited by 2
- ProbabilityTheory.integral_binomialstatement · cited by 1
- ProbabilityTheory.binomial_real_selfstatement · cited by 1
- ProbabilityTheory.binomial_real_zerostatement · cited by 1
- ProbabilityTheory.map_cast_binomial_eq_sum_diracstatement · cited by 1
- ProbabilityTheory.integrable_binomialstatement · cited by 0
- ProbabilityTheory.binomial_natstatement · cited by 0
- ProbabilityTheory.integral_map_cast_binomialstatement · cited by 0