CauchyDistribution

CauchyDistribution[a, b] represents a Cauchy distribution with location parameter a and scale parameter b.

CauchyDistribution[] represents a Cauchy distribution with location parameter 0 and scale parameter 1.

Examples

Create and sample from a Cauchy distribution:

dist = CauchyDistribution[0, 1];
RandomVariate[dist, 5]
(* {-0.234, 1.85, -0.523, 0.771, -3.14} *)

Plot the probability density function:

Plot[PDF[CauchyDistribution[0, 1], x], {x, -5, 5}]

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