central limit theorem

URI: https://gptkb.org/entity/central_limit_theorem
GPTKB entity
AI-created image of central limit theorem
AI-created image
Statements (29)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo identically distributed variables
independent random variables
gptkbp:category mathematical statistics
probability theorems
gptkbp:compatibleWith normality of original distribution
gptkbp:describes distribution of sample means
gptkbp:developedBy gptkb:Carl_Friedrich_Gauss
gptkb:Pierre-Simon_Laplace
gptkb:Aleksandr_Lyapunov
gptkbp:field gptkb:probability_theory
statistics
gptkbp:formedBy gptkb:Abraham_de_Moivre
gptkbp:generalizes gptkb:Lindeberg–Feller_theorem
gptkbp:implies sampling distribution of the mean is approximately normal
gptkbp:namedAfter centrality of the normal distribution
gptkbp:relatedTo gptkb:normal_distribution
gptkb:Berry–Esseen_theorem
gptkb:law_of_large_numbers
gptkbp:requires finite mean
finite variance
gptkbp:state sum of a large number of independent random variables tends toward a normal distribution
gptkbp:usedIn hypothesis testing
inferential statistics
confidence intervals
gptkbp:bfsParent gptkb:Theory_of_Probability
gptkb:Monte_Carlo_methods
gptkbp:bfsLayer 5
https://www.w3.org/2000/01/rdf-schema#label central limit theorem