[Chi-Squared 05] Chi-Squared Distribution and Sample Variance from Non-Normal Distribution
2023, Mar 15
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Proof that sample variance from population without normality assumption also coverges to chi-squared distribution as n goes large
$\large \frac{DF}{\sigma^{2}}\,S_{n}\, = \, \chi^{2}_{DF}$ (here, $\large DF$ equals to $\large \frac{2n}{\kappa\, -\, 1}$ and $\large \kappa$ is kurtosis)