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