ProbabilityTheory.lintegral_gaussianPDFReal_eq_one

∀ (μ : ℝ) {v : NNReal}, v ≠ 0 → ∫⁻ (x : ℝ), ENNReal.ofReal (ProbabilityTheory.gaussianPDFReal μ v x) = 1

The Gaussian distribution pdf integrates to 1 when the variance is not zero.

Defined in: Mathlib.Probability.Distributions.Gaussian.Real
Cited by: 2 results in Mathlib
Foundations: Depth 290 from the axioms · uses propext, Classical.choice, Quot.sound

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