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A sharpening of the inequality of Berry-Esseen

  • V. M. Zolotarev
Article

Keywords

Stochastic Process Probability Theory Mathematical Biology 
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Bibliography

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    Bergström, H.: On the central limit theorem in the case of not equally distributed random variables. Skand. Aktuarietidskr. 33, 37–62 (1949).Google Scholar
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    Bekry, A. C.: The accuracy of the Gaussian approximation to the sum of independent variates. Trans. Amer. math. Soc. 49, 122–136 (1941).Google Scholar
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    Esseen, C. G.: Fourier analysis of distribution functions. Acta math. 77, 1–125 (1945).Google Scholar
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    —: A moment inequality with an application to the central limit theorem. Skand. Aktuarietidskr. 3-4, 160–170 (1956).Google Scholar
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    Patnaik, P. B.: The non-central χ2 and F distributions and their applications. Biometrika 36, 202–232 (1949).Google Scholar
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    Takano, K.: A remark to a result of A. C. Berry. Res. Mem. Inst. statist. Math.9, 6 (1951).Google Scholar
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    Zolotarev, V. M.: An absolute estimate of the remainder in the central limit theorem. Teor. Verojatn. Primen 11, 108–119 (1966).Google Scholar

Copyright information

© Springer-Verlag 1967

Authors and Affiliations

  • V. M. Zolotarev
    • 1
  1. 1.Mathematical Steklov InstituteMoscowUSSR

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