Non-uniform random variate generation

Non-uniform random variate generation is a process used in stochastic simulations and probabilistic models to produce random samples from distributions that do not have a uniform distribution. Unlike uniform random variates that are drawn from a uniform distribution (where every outcome is equally likely), non-uniform random variates are generated from specified probability distributions, such as normal, exponential, binomial, Poisson, or any other distribution that reflects a particular set of characteristics or behaviors.