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Proceedings of the Second Japan-USSR Symposium on Probability Theory pp 531–543Cite as

Exactness of an approximation in the central limit theorem

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 330))

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References

  1. P.Lévy. Théorie de l'addition des variables aléatoires, Paris, 1937

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  2. V.M. Zolotarev. On the closeness of the distributions of the two sums of independent random variables, Theor. Prob. and its Appl. 10 (1965), 519–526

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  3. V. Paulauskas. One intensification of the Liapunov's theorem, Lituan, Math. J., 9 (1969), 323–328

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  4. V.M. Zolotarev. Some new inequalities in probability connected with Lévy's metric, Dokl. Akad. Nauk SSSR, 190 (1970), 1019–1021

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  5. V.M. Zolotarev. Estimations of difference of the distributions in Lévy's metric, Trans. Steklov Math. Inst., 112 (1971), 224–231

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Authors and Affiliations

  1. Steklov Mathematical Institute of the Academy of Sciences of the USSR, Moscow

    V. M. Zolotarev

Authors
  1. V. M. Zolotarev
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G. Maruyama Yu. V. Prokhorov

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© 1973 Springer-Verlag

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Zolotarev, V.M. (1973). Exactness of an approximation in the central limit theorem. In: Maruyama, G., Prokhorov, Y.V. (eds) Proceedings of the Second Japan-USSR Symposium on Probability Theory. Lecture Notes in Mathematics, vol 330. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061516

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  • DOI: https://doi.org/10.1007/BFb0061516

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06358-2

  • Online ISBN: 978-3-540-46956-8

  • eBook Packages: Springer Book Archive

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