Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb: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
|
| 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:Khinchin's_law_of_large_numbers |
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
weak law of large numbers
|