Probability theory and stochastic processes Modes of convergence Concept
Almost sure convergence
Summary
A sequence of random variables converges almost surely when, for almost every outcome, the sequence of values converges. The node almost sure convergence gives the precise definition.
Where this leads
5 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Convergence_of_random_variables, Almost sure convergence
About this page
| Tag | 0AAXWGT5TD |
|---|---|
| URI | m2://0AAXWGT5TD |
| Aliases | convergence-almost-surely, convergence-with-probability-one, strong-convergence-of-random-variables |
| Kind | concept |
| Writing | W0 stub |
| MSC | 60F15 |
| Specializes | Convergence of random variables |
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What links here
Definitions
Used by
- Continuous mapping theorem
- Skorokhod's representation theorem
- Doob's martingale convergence theorems
- Lévy's upward theorem