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The LaTeX command for iid is \overset{\text{iid}}{\sim} — independently and identically distributed.
\overset{\text{iid}}{\sim}Write \overset{\text{iid}}{\sim} inside math mode — that is, between $…$ for inline math or in a \[ … \] / equation block for display math. This symbol needs the amsmath package, so add \usepackage{amsmath} to your preamble.
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Use \overset{\text{iid}}{\sim} in math mode after adding \usepackage{amsmath} to your preamble. For example, $\overset{\text{iid}}{\sim}$.
It comes from the amsmath package — add \usepackage{amsmath} to your preamble.