{math-operators} is about operators in math mode. These include sums, integrals and similar, text operators like sin, cos, etc.

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How to typeset statistical distributions

What is the consensus way to typeset statistical distributions? For the normal distribution I have seen all of: $X\sim N(\mu,\,\sigma^{2})$ $X\sim\mathrm{N}(\mu,\,\sigma^{2})$ ...
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Numbered equation makes small sum operator

I am using the followig: \chapter{Theoretical framework} \section{Econometric framework} \begin{equation} {r^{h}_{t+1}}= \alpha+\beta x_{t} + u^{h}_{t} \end{equation} %random test equationn ...