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Chi-squared distribution
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=== Probability density function === The [[probability density function]] (pdf) of the chi-squared distribution is :<math> f(x;\,k) = \begin{cases} \dfrac{x^{k/2 -1} e^{-x/2}}{2^{k/2} \Gamma\left(\frac k 2 \right)}, & x > 0; \\ 0, & \text{otherwise}. \end{cases} </math> where <math display="inline">\Gamma(k/2)</math> denotes the [[gamma function]], which has [[particular values of the gamma function|closed-form values for integer <math>k</math>]]. For derivations of the pdf in the cases of one, two and <math>k</math> degrees of freedom, see [[Proofs related to chi-squared distribution]].
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