Theorems · Theorem · probability
ProbabilityTheory.centralMoment_one
∀ {Ω : Type u_1} {m : MeasurableSpace Ω} {X : Ω → ℝ} {μ : MeasureTheory.Measure Ω}
[MeasureTheory.IsZeroOrProbabilityMeasure μ], ProbabilityTheory.centralMoment X 1 μ = 0- Defined in
- Mathlib.Probability.Moments.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 255 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.integralproof · cited by 1,779
- MulZeroClass.zero_mulproof · cited by 1,625
- MeasureTheory.Integrableproof · cited by 1,367
- sub_selfproof · cited by 996
- sub_zeroproof · cited by 938
- pow_oneproof · cited by 894
- MeasureTheory.IsProbabilityMeasureproof · cited by 392
- sub_add_cancelproof · cited by 344
- MeasureTheory.integrable_constproof · cited by 73
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