Khinchin–Kolmogorov theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo sequences of independent random variables
gptkbp:concerns convergence of sums of independent random variables
gptkbp:field gptkb:probability_theory
https://www.w3.org/2000/01/rdf-schema#label Khinchin–Kolmogorov theorem
gptkbp:implies gptkb:strong_law_of_large_numbers
gptkbp:namedAfter gptkb:Andrey_Kolmogorov
gptkb:Aleksandr_Khinchin
gptkbp:publishedIn early 20th century
gptkbp:relatedTo gptkb:law_of_large_numbers
gptkbp:state If the sum of variances of independent random variables is finite, then the sum converges almost surely
gptkbp:bfsParent gptkb:A._Ya._Khinchin
gptkbp:bfsLayer 6