Uniform Distribution
| Notation | $x\sim U(a,b)$ |
| ${1\over b-a} \mathrm{if} x\in[a,b]$ | |
| cdf | $\tfrac{x-a}{b-a}$ if $x\in [a,b[$ |
| EV | $\tfrac{1}{2}(a+b)$ |
| Var | $\tfrac{1}{12}(b-a)^2$ |
| Char. function | $\frac{\mathrm{e}^{itb}-\mathrm{e}^{ita}}{it(b-a)}$ |
| Entropy | $\ln(b-a)$ |
| Exponential family | - |