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What is the consensus way to typeset statistical distributions? For the normal distribution I have seen all of:

$X\sim N(\mu,\,\sigma^{2})$

$X\sim\mathrm{N}(\mu,\,\sigma^{2})$

$X\sim\mathcal{N}(\mu,\,\sigma^{2})$

Are there any subtleties for distributions with multiple letters in their name or which use the Greek alphabet, particularly since the latter are not automatically italic in LaTeX? For instance:

$X\sim Exp(\lambda)$

$X\sim\Gamma(a,\, b)$

(My personal inclination would be for all distribution names to be upright, which is particularly convenient for the Greek-letter distributions. But this does not seem to be the norm in my sources.)

A related question is the degree of spacing which is appropriate between parameters for those distributions, like the normal, which take more than one.

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Welcome to TeX.sx! –  Speravir Feb 16 '13 at 3:06
    
I assume you want $X\sim\mathit{Exp}(\lambda)$, not $X\sim Exp(\lambda)$. The italic font you get with $Exp$ would be correct only if each letter was a separate mathematical symbol (for instance, if they were three variables being multiplied together). Also, I don't know what the convention is, but I think that $X\sim N(\mu,\sigma^{2})$ is perfectly readable without any extra space. –  MSC Feb 17 '13 at 20:18
    
MSC: thanks, that is obviously correct - if the italic font is desired in that context, it ought to be done using \mathit. On the other hand I don't think I've ever seen anybody use that! Which suggests the times I have seen e.g. Exp written in italic, it may have been from laziness rather than a conscious style choice. As for the spacing I have seen both with and without a space... –  Silverfish Feb 18 '13 at 8:51
    
This question appears to be off-topic because it is about mathematical notation itself, not how to implement a particular notation in (La)TeX. –  Joseph Wright Aug 7 '13 at 11:38
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closed as off-topic by Joseph Wright Aug 7 '13 at 11:38

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