[PS] First update complete

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janishutz committed 2026-06-16 12:05:06 +02:00
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\subsubsection{Cauchy-Verteilung}
\label{sec:cauchy-dist}
\shortdefinition $\cX \sim \text{Cauchy}(x_0, \gamma)$, falls $\displaystyle f_\cX(x) = \frac{1}{\pi} \frac{\gamma}{\gamma^2 + (x - x_0)^2}$
\shortremark[Verteilungsfunk.] $\displaystyle F_\cX(x) = \frac{1}{2} + \frac{1}{\pi} \arctan \left( \frac{x - x_0}{\gamma} \right)$