Theorems · Theorem · probability

ProbabilityTheory.Kernel.HasSubgaussianMGF.ae_eq_zero_of_hasSubgaussianMGF_zero

∀ {Ω : Type u_1} {Ω' : Type u_2} {mΩ : MeasurableSpace Ω} {mΩ' : MeasurableSpace Ω'} {ν : MeasureTheory.Measure Ω'}
  {κ : ProbabilityTheory.Kernel Ω' Ω} {X : Ω → ℝ},
  ProbabilityTheory.Kernel.HasSubgaussianMGF X 0 κ ν → ∀ᵐ (ω' : Ω') ∂ν, X =ᵐ[κ ω'] 0

Defined in

Mathlib.Probability.Moments.SubGaussian

Cited by

2 results in Mathlib

Foundations

Depth 263 from the axioms · uses propext, Classical.choice, Quot.sound