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Generated from the engine's own definition: compute-engine's symbol, which we neither extend nor document by hand.

Probability density (continuous) or mass (discrete) function of a distribution, evaluated at x.

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PDF(distribution, real | signed_infinity) -> nan | real<0..>Probability density (continuous) or mass (discrete) function of a distribution, evaluated at x.

Typed signatures

Type	Package	Applies
(distribution, real | signed_infinity) -> nan | real<0..>	compute-engine	always
(distribution, list<real> | real | signed_infinity) -> nan | real<0..>	statisticsreplaces compute-engine	always

Domain: Compute engine

Examples

Basic #

The standard normal density, written out in closed form

live ↗

In$\operatorname{PDF}(\operatorname{NormalDistribution}(0, 1), x)$Out$\frac{\sqrt{2}e^{-\frac{x^2}{2}}}{2\sqrt{π}}$

Properties #

live ↗

In$\operatorname{PDF}(\operatorname{PoissonDistribution}(m), 5)$Out$\frac{1}{120}m^5e^{-m}$

About

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