Theorems · Definition · probability
PMF
Type u → Type u
A probability mass function, or discrete probability measures is a function α → ℝ≥0∞ such
that the values have (infinite) sum 1.
- Cited by
- 127 results in Mathlib
- Foundations
- Depth 119 from the axioms, rests on 2,365 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealproof · cited by 9,879
- SummationFilter.unconditionalproof · cited by 2,068
- HasSumproof · cited by 518
Cited by147
Results whose statement or proof uses this declaration.
- PMF.supportstatement and proof · cited by 58
- PMF.toMeasurestatement and proof · cited by 34
- PMF.toOuterMeasurestatement and proof · cited by 26
- PMF.purestatement · cited by 22
- PMF.bindstatement and proof · cited by 16
- PMF.mapstatement and proof · cited by 16
- PMF.toOuterMeasure_applystatement and proof · cited by 16
- PMF.extstatement and proof · cited by 15
- PMF.toMeasure_apply_eq_toOuterMeasure_applystatement and proof · cited by 15
- PMF.bindOnSupportstatement and proof · cited by 11
- PMF.uniformOfFinsetstatement · cited by 8
- PMF.binomialstatement · cited by 7