Theorems · Definition · probability
ProbabilityTheory.Kernel.rnDeriv
{α : Type u_3} →
{γ : Type u_4} →
{mα : MeasurableSpace α} →
{mγ : MeasurableSpace γ} →
[hαγ : MeasurableSpace.CountableOrCountablyGenerated α γ] →
ProbabilityTheory.Kernel α γ → ProbabilityTheory.Kernel α γ → α → γ → ENNRealRadon-Nikodym derivative of the kernel κ with respect to the kernel η.
- Defined in
- Mathlib.Probability.Kernel.RadonNikodym
- Cited by
- 45 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement · cited by 13,106
- ENNRealstatement · cited by 9,879
- ProbabilityTheory.Kernelstatement · cited by 1,281
- MeasurableSpace.CountableOrCountablyGeneratedstatement · cited by 97
Cited by45
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.rnDeriv_eq_rnDeriv_measurestatement · cited by 13
- ProbabilityTheory.Kernel.measurable_rnDerivstatement · cited by 11
- ProbabilityTheory.Kernel.rnDeriv_add_singularPartstatement and proof · cited by 7
- MeasureTheory.Measure.AbsolutelyContinuous.kernel_of_compProdproof · cited by 5
- ProbabilityTheory.Kernel.rnDeriv_defstatement · cited by 5
- ProbabilityTheory.Kernel.singularPart_compl_mutuallySingularSetSliceproof · cited by 4
- ProbabilityTheory.Kernel.measurable_singularPart_funstatement · cited by 3
- ProbabilityTheory.Kernel.withDensity_rnDeriv_mutuallySingularSetSlicestatement and proof · cited by 3
- ProbabilityTheory.Kernel.ae_eq_of_compProd_eqproof · cited by 3
- ProbabilityTheory.Kernel.singularPart_defstatement and proof · cited by 3
- ProbabilityTheory.Kernel.setLIntegral_rnDerivstatement and proof · cited by 2
- ProbabilityTheory.Kernel.singularPart_eq_zero_iff_absolutelyContinuousproof · cited by 2