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- Berry–Esseen_theorem abstract "In probability theory, the central limit theorem states that, under certain circumstances, the probability distribution of the scaled mean of a random sample converges to a normal distribution as the sample size increases to infinity. Under stronger assumptions, the Berry–Esseen theorem, or Berry–Esseen inequality, gives a more quantitative result, because it also specifies the rate at which this convergence takes place by giving a bound on the maximal error of approximation between the normal distribution and the true distribution of the scaled sample mean. The approximation is measured by the Kolmogorov–Smirnov distance. In the case of independent samples, the convergence rate is n−1/2, where n is the sample size, and the constant is estimated in terms of the third absolute normalized moments.".
- Berry–Esseen_theorem thumbnail BerryEsseenTheoremCDFGraphExample.png?width=300.
- Berry–Esseen_theorem wikiPageExternalLink bn_3.html.
- Berry–Esseen_theorem wikiPageExternalLink 03461238.2010.485370.
- Berry–Esseen_theorem wikiPageID "508012".
- Berry–Esseen_theorem wikiPageLength "12508".
- Berry–Esseen_theorem wikiPageOutDegree "41".
- Berry–Esseen_theorem wikiPageRevisionID "691489653".
- Berry–Esseen_theorem wikiPageWikiLink Andrew_C._Berry.
- Berry–Esseen_theorem wikiPageWikiLink Approximation_theory.
- Berry–Esseen_theorem wikiPageWikiLink Big_O_notation.
- Berry–Esseen_theorem wikiPageWikiLink Carl-Gustav_Esseen.
- Berry–Esseen_theorem wikiPageWikiLink Category:Central_limit_theorem.
- Berry–Esseen_theorem wikiPageWikiLink Category:Probabilistic_inequalities.
- Berry–Esseen_theorem wikiPageWikiLink Category:Probability_theorems.
- Berry–Esseen_theorem wikiPageWikiLink Category:Statistical_theorems.
- Berry–Esseen_theorem wikiPageWikiLink Central_limit_theorem.
- Berry–Esseen_theorem wikiPageWikiLink Chernoff_bound.
- Berry–Esseen_theorem wikiPageWikiLink Concentration_inequality.
- Berry–Esseen_theorem wikiPageWikiLink Constant_(mathematics).
- Berry–Esseen_theorem wikiPageWikiLink Convergence_of_random_variables.
- Berry–Esseen_theorem wikiPageWikiLink Cumulative_distribution_function.
- Berry–Esseen_theorem wikiPageWikiLink Edgeworth_series.
- Berry–Esseen_theorem wikiPageWikiLink Expected_value.
- Berry–Esseen_theorem wikiPageWikiLink Independence_(probability_theory).
- Berry–Esseen_theorem wikiPageWikiLink Independent_and_identically_distributed_random_variables.
- Berry–Esseen_theorem wikiPageWikiLink Kolmogorov–Smirnov_test.
- Berry–Esseen_theorem wikiPageWikiLink List_of_inequalities.
- Berry–Esseen_theorem wikiPageWikiLink List_of_theorems.
- Berry–Esseen_theorem wikiPageWikiLink Mathematician.
- Berry–Esseen_theorem wikiPageWikiLink Mean.
- Berry–Esseen_theorem wikiPageWikiLink Moment_(mathematics).
- Berry–Esseen_theorem wikiPageWikiLink Normal_distribution.
- Berry–Esseen_theorem wikiPageWikiLink Probability_distribution.
- Berry–Esseen_theorem wikiPageWikiLink Probability_theory.
- Berry–Esseen_theorem wikiPageWikiLink Sample_mean_and_covariance.
- Berry–Esseen_theorem wikiPageWikiLink Skewness.
- Berry–Esseen_theorem wikiPageWikiLink Standard_score.
- Berry–Esseen_theorem wikiPageWikiLink Variance.
- Berry–Esseen_theorem wikiPageWikiLink File:BerryEsseenTheoremCDFGraphExample.png.
- Berry–Esseen_theorem wikiPageWikiLinkText "Berry–Esseen theorem".
- Berry–Esseen_theorem wikiPageWikiLinkText "Berry–Esseen".
- Berry–Esseen_theorem wikiPageWikiLinkText "Berry–Esséen theorem".
- Berry–Esseen_theorem id "p/b015760".
- Berry–Esseen_theorem title "Berry-Esseen inequality".
- Berry–Esseen_theorem wikiPageUsesTemplate Template:Asof.
- Berry–Esseen_theorem wikiPageUsesTemplate Template:Cite_arXiv.
- Berry–Esseen_theorem wikiPageUsesTemplate Template:Cite_journal.
- Berry–Esseen_theorem wikiPageUsesTemplate Template:Harvtxt.
- Berry–Esseen_theorem wikiPageUsesTemplate Template:Math.
- Berry–Esseen_theorem wikiPageUsesTemplate Template:Refbegin.
- Berry–Esseen_theorem wikiPageUsesTemplate Template:Refend.
- Berry–Esseen_theorem wikiPageUsesTemplate Template:Springer.
- Berry–Esseen_theorem subject Category:Central_limit_theorem.
- Berry–Esseen_theorem subject Category:Probabilistic_inequalities.
- Berry–Esseen_theorem subject Category:Probability_theorems.
- Berry–Esseen_theorem subject Category:Statistical_theorems.
- Berry–Esseen_theorem type Inequality.
- Berry–Esseen_theorem type Redirect.
- Berry–Esseen_theorem type Theorem.
- Berry–Esseen_theorem comment "In probability theory, the central limit theorem states that, under certain circumstances, the probability distribution of the scaled mean of a random sample converges to a normal distribution as the sample size increases to infinity.".
- Berry–Esseen_theorem label "Berry–Esseen theorem".
- Berry–Esseen_theorem sameAs Q1785872.
- Berry–Esseen_theorem sameAs Тэарэма_Беры_—_Эсеена.
- Berry–Esseen_theorem sameAs Satz_von_Berry-Esseen.
- Berry–Esseen_theorem sameAs Inégalité_de_Berry-Esseen.
- Berry–Esseen_theorem sameAs משפט_ברי-אסן.
- Berry–Esseen_theorem sameAs Berry–Esseen-tétel.
- Berry–Esseen_theorem sameAs Berry–Esseens_teorem.
- Berry–Esseen_theorem sameAs Twierdzenie_Berry-Essena.
- Berry–Esseen_theorem sameAs m.02jr1j.
- Berry–Esseen_theorem sameAs Неравенство_Берри_—_Эссеена.
- Berry–Esseen_theorem sameAs Q1785872.
- Berry–Esseen_theorem wasDerivedFrom Berry–Esseen_theorem?oldid=691489653.
- Berry–Esseen_theorem depiction BerryEsseenTheoremCDFGraphExample.png.
- Berry–Esseen_theorem isPrimaryTopicOf Berry–Esseen_theorem.