strong law of large numbers

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:mathematical_concept
gptkbp:appliesTo	independent and identically distributed random variables
gptkbp:category	limit theorem
gptkbp:contrastsWith	gptkb:weak_law_of_large_numbers
gptkbp:field	gptkb:probability_theory
gptkbp:formedBy	gptkb:Émile_Borel
gptkbp:generalizes	gptkb:Bernoulli's_law_of_large_numbers
gptkbp:hasVersion	gptkb:Borel's_strong_law gptkb:Khinchin's_strong_law gptkb:Kolmogorov's_strong_law
gptkbp:implies	convergence with probability one
gptkbp:relatedTo	gptkb:law_of_large_numbers
gptkbp:requires	finite expected value
gptkbp:state	sample averages converge almost surely to the expected value
gptkbp:usedIn	statistics stochastic processes actuarial science econometrics
gptkbp:yearProposed	1909
gptkbp:bfsParent	gptkb:Kolmogorov's_law_of_the_iterated_logarithm gptkb:Kolmogorov's_strong_law_of_large_numbers gptkb:Borel's_law_of_large_numbers gptkb:pointwise_ergodic_theorem gptkb:Khinchin's_law_of_large_numbers gptkb:Khinchin–Kolmogorov_theorem
gptkbp:bfsLayer	7
https://www.w3.org/2000/01/rdf-schema#label	strong law of large numbers