Statistics/Chi-squared distribution: Difference between revisions

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Revision as of 00:58, 1 October 2022

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

f(x;\,k)={\dfrac {x^{{\frac {k}{2}}-1}e^{-{\frac {x}{2}}}}{2^{\frac {k}{2}}\Gamma \left({\frac {k}{2}}\right)}}

, where

{\textstyle x>0}

Here, ${\textstyle \Gamma (k/2)}$ denotes the Gamma_function.

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+The probability density function (pdf) of the chi-squared distribution as used in statistics is
 :<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;
+  \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]].