Theorems · Theorem · probability
ProbabilityTheory.Kernel.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} [MeasureTheory.IsFiniteMeasure ν] [ProbabilityTheory.IsZeroOrMarkovKernel κ],
ProbabilityTheory.Kernel.HasSubgaussianMGF 0 0 κ ν- Defined in
- Mathlib.Probability.Moments.SubGaussian
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 256 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- NNRealstatement · cited by 4,310
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- ProbabilityTheory.Kernel.HasSubgaussianMGFstatement · cited by 36
- ProbabilityTheory.IsZeroOrMarkovKernelstatement and proof · cited by 32
- ProbabilityTheory.Kernel.HasSubgaussianMGF.fun_zeroproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.HasCondSubgaussianMGF.zeroproof · cited by 0