Berry-Esseen-type inequality for a special class of distributions
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Bergström, H.: On the central limit theorem inR k . The remainder term for special Borelsets, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete14, 113–126, 1969.
Bhattacharya, R. N.: Rates of weak convergence and asymptotic expansions for classical central limit theorems. Ann. Math. Statist.42, 241–259, 1971.
Chung, K. L.: The approximate distribution of Student's statistic, Ann. Math. Statist17, 447–465, 1946.
Feller, W.: An Introduction to Probability Theory and its Applications 2, Wiley, New York 1966.
Gantmacher, F. R.: Matrizenrechnung 1. Veb Deutscher Verlag d. Wissenschaften. Berlin 1958.
Hsu, P. L.: The approximate distributions of the mean and variance of a sample of independent variables, Ann. Math. Statist.16, 1–29, 1945.
Sazonov, V. V.: On the multi-dimensional central limit theorem. Sankhyā Ser. A30, 181–204, 1968.