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Theorems · Definition · probability

MeasureTheory.pdf.uniformPDF

{E : Type u_1} →
  [inst : MeasurableSpace E] →
    Set E → E → autoParam (MeasureTheory.Measure E) MeasureTheory.pdf.uniformPDF._auto_1 → ENNReal

The density of the uniform measure on a set with respect to itself. This allows us to abstract away the choice of random variable and probability space.

Defined in
Mathlib.Probability.Distributions.Uniform
Cited by
2 results in Mathlib
Foundations
Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpace
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MeasureTheory.pdf.uniformPDF_eq_pdf · cited by 0pdf.uniformPDF_eq_pdfMeasureTheory.pdf.uniformPDF_ite · cited by 0pdf.uniformPDF_iteDFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealSet.indicator · cited by 723Set.indicatorpdf.uniformPDFCITED BYCITES

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