Parametry Gęstość prawdopodobieństwa Dystrybuanta $\sigma>0\,$ $x\in [0;\infty)$ $\frac{x \exp\left(\frac{-x^2}{2\sigma^2}\right)}{\sigma^2}$ $1-\exp\left(\frac{-x^2}{2\sigma^2}\right)$ $\sigma \sqrt{\frac{\pi}{2}}$ $\sigma\sqrt{\ln(4)}\,$ $\sigma\,$ $\frac{4 - \pi}{2} \sigma^2$ $\frac{2\sqrt{\pi}(\pi - 3)}{(4-\pi)^{3/2}}$ $-\frac{6\pi^2 - 24\pi +16}{(4-\pi)^2}$ $1+\ln\left(\frac{\sigma}{\sqrt{2}}\right)+\frac{\gamma}{2}$ $1+\sigma t\,e^{\sigma^2t^2/2}\sqrt{\frac{\pi}{2}} \left(\textrm{erf}\left(\frac{\sigma t}{\sqrt{2}}\right)\!+\!1\right)$ $1\!-\!\sigma te^{-\sigma^2t^2/2}\sqrt{\frac{\pi}{2}}\!\left(\textrm{erfi}\!\left(\frac{\sigma t}{\sqrt{2}}\right)\!-\!i\right)$