Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
independent and identically distributed random variables
|
| gptkbp:category |
probability theorems
statistical theorems |
| gptkbp:field |
gptkb:probability_theory
statistics |
| https://www.w3.org/2000/01/rdf-schema#label |
Glivenko–Cantelli theorem
|
| gptkbp:namedAfter |
gptkb:Francesco_Paolo_Cantelli
gptkb:Valery_Glivenko |
| gptkbp:relatedTo |
uniform convergence
empirical distribution function cumulative distribution function |
| gptkbp:sentence |
The empirical distribution function converges uniformly to the true cumulative distribution function as the sample size increases.
|
| gptkbp:type |
gptkb:law_of_large_numbers
|
| gptkbp:yearProved |
1933
|
| gptkbp:bfsParent |
gptkb:empirical_process_theory
gptkb:Dvoretzky–Kiefer–Wolfowitz_inequality |
| gptkbp:bfsLayer |
7
|