Statistics/Chi-squared distribution: Difference between revisions
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(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.") |
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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)} </math>,
▲where <math display="inline">\Gamma(k/2)</math> is the [[Gamma_function]].
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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
- , where
Here, denotes the Gamma_function.