CensoredDistribution

CensoredDistribution[{xmin, xmax}, dist] represents the distribution of values that come from dist and are censored to be between xmin and xmax.

CensoredDistribution[{{xmin, xmax}, {ymin, ymax}, ...}, dist] represents the distribution of values from a multivariate distribution dist censored to specified ranges.

Examples

Create a censored normal distribution between 0 and 2:

dist = CensoredDistribution[{0, 2}, NormalDistribution[1, 1]];
Mean[dist]
(* 1.0 *)

Sample from a censored distribution:

RandomVariate[CensoredDistribution[{0, Infinity}, NormalDistribution[]], 5]
(* {0.42, 1.21, 0.05, 0.87, 0.33} *)

Please visit the official Wolfram Language Reference for more details.