Explores probability distributions from Borel functions, indicating application in Monte Carlo simulations.
We prove that the Young measure associated with a Borel function f is a probability distribution of the random variable $f(U)$, where U has a uniform distribution on the domain of f. Examples of specific applications of the main result, including Monte Carlo method of simulation of Young measures, are presented with comments.
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Grzybowski et al. (2026) studied this question.
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