Theorems · Definition · probability
MeasureTheory.upcrossingStrat
{Ω : Type u_1} → ℝ → ℝ → (ℕ → Ω → ℝ) → ℕ → ℕ → Ω → ℝupcrossingStrat a b f N n is 1 if n is between a consecutive pair of lower and upper
crossings and is 0 otherwise. upcrossingStrat is shifted by one index so that it is adapted
rather than predictable.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Finset.sumproof · cited by 5,195
- Finset.rangeproof · cited by 1,341
- Set.Icoproof · cited by 799
- Set.indicatorproof · cited by 723
- MeasureTheory.upperCrossingTimeproof · cited by 42
- MeasureTheory.lowerCrossingTimeproof · cited by 23
Cited by8
Results whose statement or proof uses this declaration.
- MeasureTheory.StronglyAdapted.upcrossingStratstatement · cited by 2
- MeasureTheory.upcrossingStrat_nonnegstatement · cited by 2
- MeasureTheory.Submartingale.sum_upcrossingStrat_mulstatement · cited by 2
- MeasureTheory.integral_mul_upcrossingsBefore_le_integralproof · cited by 1
- MeasureTheory.mul_upcrossingsBefore_lestatement and proof · cited by 1
- MeasureTheory.Submartingale.sum_mul_upcrossingStrat_lestatement and proof · cited by 1
- MeasureTheory.upcrossingStrat_le_onestatement · cited by 1
- MeasureTheory.Submartingale.sum_sub_upcrossingStrat_mulstatement · cited by 1