OAI/Probability/GammaPassage/MeanNormSwap.lean
4 declarations, 0 contain sorry, 0 declared as axioms
- lemma
OAI.GammaFPP.rationalMean_swapline 10 - lemma
OAI.GammaFPP.realMeanExtension_swapline 17 - lemma
OAI.GammaFPP.gammaMeanPairSeminorm_swapline 32 - theorem
OAI.GammaFPP.gammaMeanNorm_swapline 46Source documentation
Derived from actual expectation-limit symmetry through rational density.
theorem gammaMeanNorm_swap (h : GammaEnvironment shape rate P τ) (hs : 0 < shape) (hr : 0 < rate) (v : Plane) : gammaMeanNorm h hs hr (Analytic.swapPlane v) = gammaMeanNorm h hs hr v := by …Mentions: OAI.GammaFPP.GammaEnvironment, OAI.GammaFPP.gammaMeanNorm, OAI.GammaFPP.Analytic.swapPlane