Statements (18)
Predicate | Object |
---|---|
gptkbp:instanceOf |
statistical theorem
|
gptkbp:appliesTo |
independent and identically distributed random variables
|
gptkbp:field |
gptkb:probability_theory
|
gptkbp:formedBy |
gptkb:Jacob_Bernoulli
1713 |
gptkbp:generalizes |
gptkb:Kolmogorov's_strong_law_of_large_numbers
|
https://www.w3.org/2000/01/rdf-schema#label |
weak law of large numbers
|
gptkbp:implies |
gptkb:law_of_averages
|
gptkbp:provenBy |
gptkb:Chebyshev's_inequality
|
gptkbp:relatedTo |
gptkb:strong_law_of_large_numbers
|
gptkbp:state |
sample averages converge in probability to the expected value as sample size increases
|
gptkbp:type |
convergence in probability
|
gptkbp:usedIn |
statistics
actuarial science econometrics |
gptkbp:bfsParent |
gptkb:Kolmogorov's_strong_law_of_large_numbers
gptkb:law_of_large_numbers |
gptkbp:bfsLayer |
6
|