Difference between revisions of "Cauchy cdf"
From specialfunctionswiki
(Created page with "The Cauchy cumulative distribution function $F \colon \mathbb{R} \rightarrow \mathbb{R}$ for $x_0 \in \mathbb{R}$ and $\gamma > 0$ is given by $$F(x) = \dfrac{1}{\pi} \mat...") |
(No difference)
|
Latest revision as of 15:41, 9 March 2018
The Cauchy cumulative distribution function $F \colon \mathbb{R} \rightarrow \mathbb{R}$ for $x_0 \in \mathbb{R}$ and $\gamma > 0$ is given by $$F(x) = \dfrac{1}{\pi} \mathrm{arctan} \left( \dfrac{x-x_0}{\gamma} \right) + \dfrac{1}{2},$$ where $\pi$ denotes pi and $\arctan$ denotes arctan.
