Normal equations

· Format:

Normal(μ, σ)

· Probability density function:

$\begin{array}{l}\displaystyle f(x)=\frac{1}{\sqrt{2\pi\sigma^2}} exp \bigg[ - \frac{ (x - \mu)^2}{2\sigma^2}\bigg]\end{array}$

· Cumulative distribution function:

No closed form

· Parameter restrictions:

σ > 0

· Domain:

- ∞ < x < ∞

· Mean:

μ

· Mode:

μ

· Variance:

σ²

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