Theorems · Theorem · probability
ProbabilityTheory.analyticOnNhd_mgf
∀ {Ω : Type u_1} {m : MeasurableSpace Ω} {X : Ω → ℝ} {μ : MeasureTheory.Measure Ω},
AnalyticOnNhd ℝ (ProbabilityTheory.mgf X μ) (interior (ProbabilityTheory.integrableExpSet X μ))- Defined in
- Mathlib.Probability.Moments.MGFAnalytic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 290 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 and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- interiorstatement and proof · cited by 714
- AnalyticOnNhdstatement · cited by 206
- ProbabilityTheory.mgfstatement · cited by 113
- ProbabilityTheory.integrableExpSetstatement and proof · cited by 66
- ProbabilityTheory.analyticAt_mgfproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.analyticOnNhd_iteratedDeriv_mgfproof · cited by 2
- ProbabilityTheory.analyticOn_mgfproof · cited by 0