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Theorems · Definition · probability

ProbabilityTheory.betaPDFReal

ℝ → ℝ → ℝ → ℝ

The probability density function of the beta distribution with shape parameters α and β. Returns (1 / beta α β) * x ^ (α - 1) * (1 - x) ^ (β - 1) when 0 < x < 1 and 0 otherwise.

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Mathlib.Probability.Distributions.Beta
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Foundations
Depth 256 from the axioms · uses propext, Classical.choice, Quot.sound
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ProbabilityTheory.betaPDF · cited by 7ProbabilityTheory.betaPDFProbabilityTheory.lintegral_betaPDF_eq_one · cited by 1ProbabilityTheory.lintegr…ProbabilityTheory.measurable_betaPDFReal · cited by 1ProbabilityTheory.measura…ProbabilityTheory.betaPDFReal_pos · cited by 1ProbabilityTheory.betaPDF…ProbabilityTheory.stronglyMeasurable_betaPDFReal · cited by 0ProbabilityTheory.strongl…Real · cited by 25697RealProbabilityTheory.beta · cited by 9ProbabilityTheory.betaProbabilityTheory.betaPDFRealCITED BYCITES

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