Article PDF
Avoid common mistakes on your manuscript.
Bibliography
Bergström, H.: On the central limit theorem in the case of not equally distributed random variables. Skand. Aktuarietidskr. 33, 37–62 (1949).
Bekry, A. C.: The accuracy of the Gaussian approximation to the sum of independent variates. Trans. Amer. math. Soc. 49, 122–136 (1941).
Esseen, C. G.: Fourier analysis of distribution functions. Acta math. 77, 1–125 (1945).
—: A moment inequality with an application to the central limit theorem. Skand. Aktuarietidskr. 3-4, 160–170 (1956).
Patnaik, P. B.: The non-central χ2 and F distributions and their applications. Biometrika 36, 202–232 (1949).
Takano, K.: A remark to a result of A. C. Berry. Res. Mem. Inst. statist. Math.9, 6 (1951).
Zolotarev, V. M.: An absolute estimate of the remainder in the central limit theorem. Teor. Verojatn. Primen 11, 108–119 (1966).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zolotarev, V.M. A sharpening of the inequality of Berry-Esseen. Z. Wahrscheinlichkeitstheorie verw Gebiete 8, 332–342 (1967). https://doi.org/10.1007/BF00531598
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00531598