---
tag: 0GPG24Q3GR
kind: concept
name: Cauchy distribution
aliases: [lorentz-distribution, cauchy-lorentz-distribution]
msc: ["60E05"]
sources:
  - url: https://en.wikipedia.org/wiki/Cauchy_distribution
    locator: lead section
same_as:
  wikidata: Q726441
  wikipedia: Cauchy distribution
---

## Summary

The Cauchy distribution is a continuous distribution on $\mathbb{R}$ with a bell-shaped density and heavy tails. It has no mean and no variance.
The node [[Cauchy distribution|0NA6Q82YR7]] gives the precise definition.