Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:law_of_large_numbers |
| gptkbp:alsoKnownAs |
gptkb:Khinchin's_law_of_large_numbers
|
| gptkbp:appliesTo |
independent and identically distributed random variables
|
| gptkbp:condition |
finite expected value
|
| gptkbp:field |
gptkb:probability_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Khinchin's strong law
|
| gptkbp:namedAfter |
gptkb:Aleksandr_Khinchin
|
| gptkbp:plotSummary |
sample average converges almost surely to expected value
|
| gptkbp:publishedIn |
1929
|
| gptkbp:relatedTo |
gptkb:strong_law_of_large_numbers
gptkb:weak_law_of_large_numbers |
| gptkbp:sentence |
If X1, X2, ... are i.i.d. random variables with finite expected value, then the sample average converges almost surely to the expected value.
|
| gptkbp:bfsParent |
gptkb:strong_law_of_large_numbers
|
| gptkbp:bfsLayer |
7
|