Measure and integration Measures Concept
Pushforward measure
Summary
The pushforward measure moves a measure along a measurable function from one space to another. The new measure gives a set the old measure of its preimage. In probability theory, the distribution of a random variable is the pushforward of the probability measure along the variable. It also gives the abstract change of variables formula for integrals.
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Further reading
About this page
| Tag | 3N66TM3TSQ |
|---|---|
| URI | m2://3N66TM3TSQ |
| Kind | concept |
| Writing | W0 stub |
| MSC | 28A12, 28A20 |
| Same as | |
| Changed | 2 November 2026 |
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Used by
- Self-similar measure
- Quasi-invariant measure
- Duistermaat–Heckman formula
- Disintegration theorem
- Gaussian measure
- Cylinder set measure
- Cameron–Martin theorem
- Kolmogorov extension theorem
- Abstract Wiener space