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A lower bound of the remainder term in the central limit theorem. (English) Zbl 0404.60035
MSC:
60F05 Central limit and other weak theorems
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[1] I. A. Ibragimov, ?On the accuracy of approximation of the distribution functions of sums of independent random variables by the normal distribution,? Teor. Veroyatn. Ee Primen.,11, No. 4, 632-655 (1966).
[2] L. V. Osipov, ?On the accuracy of approximation of the distribution function of a sum of independent random variables to the normal distribution function,? Dokl. Akad. Nauk SSSR,178, No. 5, 1013-1016 (1968).
[3] A. P. Bikyalis, ?On the accuracy of approximation of distributions of sums of independent random variables by the normal distribution,? Litov. Mat. Sb.,11, 237-240 (1971).
[4] L. V. Rozovskii, ?On the rate of convergence in the Lindeberg-Feller theorem? Vestn. Leningradsk. Gos. Univ., Ser. Mat., Mekh., Astron.,19, No. 1, 70-75 (1974). · Zbl 0276.60033
[5] L. V. Rozovskii, ?An estimate of the rate of convergence in the multidimensional central limit theorem without moment hypotheses,? Mat. Zametki,23, No. 4, 627-640 (1978). · Zbl 0381.60021
[6] V. V. Petrov, Sums of Independent Random Variables, Springer-Verlag (1975). · Zbl 0322.60043
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