Uniform distribution symbol
There is no standard symbol for a uniform distribution. (The Wikipedia page mentions “U” in italic in text but an image of a calligraphic “U” in summary table; this is inconsistent and non-authoritative.)
So you can use whatever symbol you prefer, preferably following normal conventions for using symbols. Using “U” in italics is certainly acceptable.
I often see this:
\DeclareMathAlphabet{\pazocal}{OMS}{zplm}{m}{n}
\newcommand{\unif}{\pazocal{U}}