Cauchy pdf

From specialfunctionswiki
Revision as of 15:38, 9 March 2018 by Tom (talk | contribs) (Created page with "The Cauchy probability density 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 \gamma \le...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

The Cauchy probability density function $f \colon \mathbb{R} \rightarrow \mathbb{R}$ for $x_0 \in \mathbb{R}$ and $\gamma >0$ is given by $$f(x) = \dfrac{1}{\pi \gamma \left[1 + \left( \frac{x-x_0}{\gamma} \right)^2 \right]},$$ where $\pi$ denotes pi.

Properties

References