Theorems · Theorem · probability

ProbabilityTheory.Kernel.HasSubgaussianMGF.congr

∀ {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} {c : NNReal} {Y : Ω → ℝ},
  ProbabilityTheory.Kernel.HasSubgaussianMGF X c κ ν →
    X =ᵐ[ν.bind ⇑κ] Y → ProbabilityTheory.Kernel.HasSubgaussianMGF Y c κ ν

Defined in

Mathlib.Probability.Moments.SubGaussian

Cited by

4 results in Mathlib

Foundations

Depth 254 from the axioms · uses propext, Classical.choice, Quot.sound