|
gptkbp:instanceOf
|
statistical theorem
|
|
gptkbp:alsoKnownAs
|
gptkb:LLN
|
|
gptkbp:appliesTo
|
random variables
independent and identically distributed variables
|
|
gptkbp:category
|
mathematical law
probability law
|
|
gptkbp:consequence
|
predictability in large samples
stabilization of frequencies
|
|
gptkbp:describedBy
|
gptkb:Ars_Conjectandi
|
|
gptkbp:field
|
gptkb:probability_theory
statistics
|
|
gptkbp:formedBy
|
gptkb:Jacob_Bernoulli
1713
|
|
gptkbp:generalizes
|
gptkb:Borel's_strong_law
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Law of Large Numbers
|
|
gptkbp:implies
|
sample averages approximate population mean
|
|
gptkbp:languageOfOrigin
|
gptkb:Latin
|
|
gptkbp:provenBy
|
Chebyshev
Kolmogorov
|
|
gptkbp:relatedTo
|
gptkb:Chebyshev's_inequality
gptkb:Central_Limit_Theorem
gptkb:ergodic_theorem
|
|
gptkbp:state
|
as the number of trials increases, the sample mean converges to the expected value
|
|
gptkbp:type
|
gptkb:strong_law_of_large_numbers
gptkb:weak_law_of_large_numbers
|
|
gptkbp:usedIn
|
gptkb:insurance
gambling
actuarial science
statistical inference
|
|
gptkbp:bfsParent
|
gptkb:Monte_Carlo_Estimation
|
|
gptkbp:bfsLayer
|
8
|