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If $Z \sim \operatorname{Norm}(0,1)$ and $\chi^2 \sim \operatorname{ChiSquared}(n)$ then $Y = \frac{Z}{\sqrt{\chi^2 /n}} \sim \operatorname{T}(n)$. Falls under Add ratio distributions relations #65.
If $X \sim \operatorname{Norm}(\mu, \sigma)$, $\tau = 1 / \sigma^2 \sim \operatorname{Gamma}(\alpha, \beta)$ then $X$ is a random variable with a Student's t distribution. This one falls under Add more scale-mixtures #49.
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The text was updated successfully, but these errors were encountered: