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Normal distribution

Noun

Definitions

1.NounAny of a family of continuous probability distributions such that the probability density function is the Gaussian function
" φ μ , σ 2 ( x ) = 1 σ 2 π e − ( x − μ ) 2 2 σ 2 = 1 σ φ ( x − μ σ ) , x ∈ R {\displaystyle \varphi _{\mu ,\sigma ^{2}}(x)={\frac {1}{\sigma {\sqrt {2\pi }}}}\,e^{-{\frac {(x-\mu )^{2}}{2\sigma ^{2}}}}={\frac {1}{\sigma }}\varphi \left({\frac {x-\mu }{\sigma }}\right),\quad x\in \mathbb {R} } ."
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