${\displaystyle \mu \in \mathbb {R} }$ wartość średnia ${\displaystyle b>0}$ parametru skali

${\displaystyle \mathbb {R} }$

${\displaystyle {\frac {1}{2b))\exp \left(-{\frac {|x-\mu |}{b))\right)}$

${\displaystyle {\begin{cases}{\frac {1}{2))\exp \left({\frac {x-\mu }{b))\right)&{\text{dla ))x\leqslant \mu \\[8pt]1-{\frac {1}{2))\exp \left(-{\frac {x-\mu }{b))\right)&{\text{dla ))x\geqslant \mu \end{cases))}$

${\displaystyle \mu }$

${\displaystyle \mu }$

${\displaystyle \mu }$

${\displaystyle 2b^{2))$

${\displaystyle 0}$

${\displaystyle 3}$

${\displaystyle \ln(2be)}$

${\displaystyle {\frac {\exp(\mu t)}{1-b^{2}t^{2))}{\text{ dla ))|t|<1/b}$

${\displaystyle {\frac {\exp(\mu it)}{1+b^{2}t^{2))))$

Pierre Simon de Laplace