Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Borel's_strong_law_of_large_numbers
|
| gptkbp:appliesTo |
independent identically distributed random variables
|
| gptkbp:describes |
almost sure convergence of sample averages
|
| gptkbp:field |
gptkb:probability_theory
|
| gptkbp:formedBy |
gptkb:Émile_Borel
1909 |
| https://www.w3.org/2000/01/rdf-schema#label |
Borel's strong law
|
| gptkbp:implies |
sample averages stabilize with probability one
|
| gptkbp:publishedIn |
gptkb:Comptes_Rendus_de_l'Académie_des_Sciences
|
| gptkbp:relatedTo |
gptkb:law_of_large_numbers
|
| gptkbp:state |
the sample average of independent identically distributed random variables converges almost surely to the expected value
|
| gptkbp:type |
gptkb:strong_law_of_large_numbers
|
| gptkbp:bfsParent |
gptkb:strong_law_of_large_numbers
|
| gptkbp:bfsLayer |
7
|