Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
independent and identically distributed random variables
|
| gptkbp:category |
limit theorem
|
| gptkbp:contrastsWith |
gptkb:weak_law_of_large_numbers
|
| gptkbp:field |
gptkb:probability_theory
|
| gptkbp:formedBy |
gptkb:Émile_Borel
|
| gptkbp:generalizes |
gptkb:Bernoulli's_law_of_large_numbers
|
| gptkbp:hasVersion |
gptkb:Borel's_strong_law
gptkb:Khinchin's_strong_law gptkb:Kolmogorov's_strong_law |
| https://www.w3.org/2000/01/rdf-schema#label |
strong law of large numbers
|
| gptkbp:implies |
convergence with probability one
|
| gptkbp:relatedTo |
gptkb:law_of_large_numbers
|
| gptkbp:requires |
finite expected value
|
| gptkbp:state |
sample averages converge almost surely to the expected value
|
| gptkbp:usedIn |
statistics
stochastic processes actuarial science econometrics |
| gptkbp:yearProposed |
1909
|
| gptkbp:bfsParent |
gptkb:Kolmogorov's_law_of_the_iterated_logarithm
gptkb:Kolmogorov's_strong_law_of_large_numbers gptkb:law_of_large_numbers |
| gptkbp:bfsLayer |
6
|