Clamps a distribution to an interval: values outside are not discarded but
CensoredDistribution[{xmin, xmax}, dist]
CensoredDistribution[{{xmin, xmax}, {ymin, ymax}, …}, dist]
CDF[CensoredDistribution[{1, 3}, UniformDistribution[{0, 4}]], 5]
→ 1Mean[CensoredDistribution[{1, 3}, UniformDistribution[{0, 4}]]]
→ 2Quantile[CensoredDistribution[{1, 3}, UniformDistribution[{0, 4}]], 1/8]
→ 1