Theorems · Theorem · probability

ProbabilityTheory.Kernel.HasSubgaussianMGF.fun_zero

∀ {Ω : Type u_1} {Ω' : Type u_2} {mΩ : MeasurableSpace Ω} {mΩ' : MeasurableSpace Ω'} {ν : MeasureTheory.Measure Ω'}
  {κ : ProbabilityTheory.Kernel Ω' Ω} [MeasureTheory.IsFiniteMeasure ν] [ProbabilityTheory.IsZeroOrMarkovKernel κ],
  ProbabilityTheory.Kernel.HasSubgaussianMGF (fun x => 0) 0 κ ν

Defined in

Mathlib.Probability.Moments.SubGaussian

Cited by

2 results in Mathlib

Foundations

Depth 255 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasureTheory.IsFiniteMeasureProbabilityTheory.IsZeroOrMarkovKernel