Rozkład chi kwadrat

${\displaystyle k>0}$ stopni swobody

${\displaystyle x\in [0;+\infty )}$

${\displaystyle {\frac {(1/2)^{k/2}}{\Gamma (k/2)}}x^{k/2-1}e^{-x/2}}$

${\displaystyle {\frac {\gamma (k/2,x/2)}{\Gamma (k/2)}}}$

${\displaystyle k}$

około ${\displaystyle k-2/3}$

${\displaystyle k-2\,{\mbox{ dla }}k\geqslant 2}$

${\displaystyle 2\,k}$

${\displaystyle {\sqrt {8/k}}}$

${\displaystyle 12/k}$

${\displaystyle {\frac {k}{2}}\!+\!\ln(2\Gamma (k/2))+{}}$
${\displaystyle {}+(1\!-\!k/2)\psi (k/2)}$

${\displaystyle (1-2\,t)^{-k/2}{\mbox{ dla }}2\,t<1}$

${\displaystyle (1-2\,i\,t)^{-k/2}}$

Ronald Fisher