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We introduce a new method for obtaining quantitative convergence rates for the central limit theorem (CLT) in a high dimensional setting.
The accuracy of the Gaussian approximation to the sum of independent variates
Andrew C. Berry · 1941
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On the Liapounoff limit of error in the theory of probability
Carl-Gustav Esseen · 1942
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On the central limit theorem in the space R k , k > 1 R_{k},k>1
Harald Bergström · 1945
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An estimate of the remainder term in the multidimensional central limit theorem
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