Theorems · Theorem · statistics
ProbabilityTheory.minimaxRisk_zero
∀ {Θ : Type u_1} {𝓧 : Type u_2} {𝓨 : Type u_3} {mΘ : MeasurableSpace Θ} {m𝓧 : MeasurableSpace 𝓧}
{m𝓨 : MeasurableSpace 𝓨} [Nonempty 𝓨] (ℓ : Θ → 𝓨 → ENNReal), ProbabilityTheory.minimaxRisk ℓ 0 = 0- Defined in
- Mathlib.Probability.Decision.Risk.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 215 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nonempty
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- MeasurableSpacestatement and proof · cited by 13,106
- ENNRealstatement and proof · cited by 9,879
- iSupproof · cited by 2,415
- iInfproof · cited by 1,690
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.lintegralproof · cited by 1,152
- zero_applyproof · cited by 251
- iInf_congr_Propproof · cited by 218
- ProbabilityTheory.IsMarkovKernelproof · cited by 124
- iInf_subtype'proof · cited by 34
- MeasureTheory.lintegral_zero_measureproof · cited by 34
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