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In page Cauchy distribution:

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  • The Cauchy distribution is a stable distribution: if X ∼ Stable ( 1 , 0 , γ , μ ) {\displaystyle X\sim {\textrm {Stable}}(1,0,\gamma ,\mu )} , then X ∼ Cauchy ⁡ ( μ , γ ) {\displaystyle X\sim \operatorname {Cauchy} (\mu ,\gamma )} .
  • The Cauchy distribution is a singular limit of a hyperbolic distribution[citation needed]
  • The wrapped Cauchy distribution, taking values on a circle, is derived from the Cauchy distribution by wrapping it around the circle.