Name

Support

Model

R package

Est.Met.

Johnson’s system

$\left(-\infty \mathrm{,}\infty \right)$

$\frac{{\theta }_3}{\sqrt{\text{2π}}}{g}^{\prime }\text{}\left(y\right){\text{e}}^{{\left[{\theta }_4+{\theta }_{3}g\text{}\left(y\right)\right]}^{-2}/2}$

SuppDists

qme

Gamma

$\left(\mathrm{0,}\infty \right)$

$\frac{y^{{\theta }_3-1}{\text{e}}^{-y}}{{\theta }_2\Gamma \left({\theta }_3\right)}$

fitdistrplus

mme

Logistic

$\left(-\infty \mathrm{,}\infty \right)$

$\frac{{\text{e}}^{-y}}{{\left(1+{\text{e}}^{-y}\right)}^2}$

stats

mme

Gaussian

$\left(-\infty \mathrm{,}\infty \right)$

$\frac{1}{\sqrt{\text{2π}}}{\text{e}}^{-y^2/2}$

stats

mle