Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:law_of_large_numbers
|
| gptkbp:alsoKnownAs |
gptkb:Kolmogorov's_strong_law_of_large_numbers
|
| gptkbp:appliesTo |
independent and identically distributed random variables
|
| gptkbp:category |
theorem in probability theory
|
| gptkbp:describes |
almost sure convergence of sample averages
|
| gptkbp:field |
gptkb:probability_theory
|
| gptkbp:formedBy |
gptkb:Andrey_Kolmogorov
1933 |
| https://www.w3.org/2000/01/rdf-schema#label |
Kolmogorov's strong law
|
| gptkbp:relatedTo |
gptkb:weak_law_of_large_numbers
|
| gptkbp:requires |
finite expected value
finite variance (in some versions) |
| gptkbp:state |
the sample average converges almost surely to the expected value
|
| gptkbp:bfsParent |
gptkb:law_of_large_numbers
|
| gptkbp:bfsLayer |
6
|