Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:probability_theory
|
| gptkbp:alsoKnownAs |
functional central limit theorem
|
| gptkbp:appliesTo |
sequence of independent and identically distributed random variables
|
| gptkbp:describes |
convergence of empirical processes
|
| gptkbp:field |
gptkb:probability_theory
statistics |
| gptkbp:generalizes |
gptkb:central_limit_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Donsker's theorem
|
| gptkbp:namedAfter |
gptkb:Monroe_D._Donsker
|
| gptkbp:relatedTo |
gptkb:empirical_process_theory
Brownian motion invariance principle |
| gptkbp:state |
properly normalized random walk converges in distribution to Brownian motion
|
| gptkbp:usedIn |
gptkb:asymptotic_statistics
stochastic processes |
| gptkbp:yearProposed |
1952
|
| gptkbp:bfsParent |
gptkb:empirical_process_theory
gptkb:Monroe_D._Donsker |
| gptkbp:bfsLayer |
7
|