On general characterization of Young measures associated with Borel functions
Abstract
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.
Fields of Study & Subjects
Functional Equations Stability Results
Benford’s Law and Fraud Detection
Probability and Statistical Research
Publication details
- Journal / source
- Archives of Control Sciences
- Publisher
- Polish Academy of Sciences Chancellery
- Volume
- 36
- Issue
- 2
- Publication date
- 25 June 2026
- Language
- EN