Cauchy distribution

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English[edit]

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Noun[edit]

Cauchy distribution (plural Cauchy distributions)

  1. (statistics) A continuous probability distribution such that its probability density function is
    \begin{align}
f(x; x_0,\gamma) &= \frac{1}{\pi\gamma \left[1 + \left(\frac{x-x_0}{\gamma}\right)^2\right]} 
&= { 1 \over \pi } \left[ { \gamma \over (x - x_0)^2 + \gamma^2  } \right]
\end{align}

Translations[edit]