Statistics/Chi-squared distribution: Difference between revisions

From Rosetta Code
Content added Content deleted
(Created page with ":<math> f(x;\,k) = \dfrac{x^{\frac k 2 -1} e^{-\frac x 2}}{2^{\frac k 2} \Gamma\left(\frac k 2 \right)}, & x > 0; </math> where <math display="inline">\Gamma(k/2)</math> is the Gamma_function.")
 
No edit summary
Line 1: Line 1:
The probability density function (pdf) of the chi-squared distribution as used in statistics is
:<math>
:<math>
f(x;\,k) =
f(x;\,k) =


\dfrac{x^{\frac k 2 -1} e^{-\frac x 2}}{2^{\frac k 2} \Gamma\left(\frac k 2 \right)}, & x > 0;
\dfrac{x^{\frac k 2 -1} e^{-\frac x 2}}{2^{\frac k 2} \Gamma\left(\frac k 2 \right)} </math>, where <math display="inline">x > 0 </math>
Here, <math display="inline">\Gamma(k/2)</math> denotes the [[Gamma_function]].

</math>
where <math display="inline">\Gamma(k/2)</math> is the [[Gamma_function]].

Revision as of 00:58, 1 October 2022

The probability density function (pdf) of the chi-squared distribution as used in statistics is

, where

Here, denotes the Gamma_function.