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{\displaystyle P(Z\in [-z,z])=P(-z\leq Z\leq z)=\int _{-z}^{+z}\varphi (t)\mathrm {d} t=\Phi (z)-\Phi (-z)=\Phi (z)-(1-\Phi (z))=2\Phi (z)-1\,.}
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Normalverteilung – Wikipedia
{\displaystyle (X-\mu )/\sigma }
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Normalverteilung – Wikipedia
{\displaystyle P(\mu -z\sigma \leq X\leq \mu +z\sigma )=P\left(-z\leq {\frac {X-\mu }{\sigma }}\leq z\right)=P(-z\leq Z\leq z)\;.}
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Normalverteilung – Wikipedia
{\displaystyle {\begin{smallmatrix}{\mathbf {MATHE} \mu \alpha T\mathbb {R} ix}\end{smallmatrix}}}
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Normalverteilung – Wikipedia
{\displaystyle X_{1},\dots ,X_{12}}
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Normalverteilung – Wikipedia
{\displaystyle Y-6}
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Normalverteilung – Wikipedia
{\displaystyle Y={\sqrt {2}}\cdot \mathbb {erf} ^{-1}\left(X\right)}
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Normalverteilung – Wikipedia
{\displaystyle i=1,2}
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Normalverteilung – Wikipedia
{\displaystyle x_{i}=u_{i}\cdot p}
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Normalverteilung – Wikipedia
{\displaystyle p={\sqrt {\frac {-2\cdot \ln q}{q}}}}
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Normalverteilung – Wikipedia
{\displaystyle q\geq 1}
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Normalverteilung – Wikipedia
{\displaystyle q=0}
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Normalverteilung – Wikipedia
{\displaystyle q=u_{1}^{2}+u_{2}^{2}}
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Normalverteilung – Wikipedia
{\displaystyle u_{2}}
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Normalverteilung – Wikipedia
{\displaystyle u_{1}}
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Normalverteilung – Wikipedia
{\displaystyle [-1,1]}
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Normalverteilung – Wikipedia
{\displaystyle Y=\sin(2\pi U_{1}){\sqrt {-2\ln U_{2}}}.}
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Normalverteilung – Wikipedia
{\displaystyle X=\cos(2\pi U_{1}){\sqrt {-2\ln U_{2}}}}
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Normalverteilung – Wikipedia
{\displaystyle U_{1},U_{2}\sim U(0,1)}
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Normalverteilung – Wikipedia
{\displaystyle {\mathcal {N}}(b,a^{2})}
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Normalverteilung – Wikipedia