You are not currently logged in.
Access your personal account or get JSTOR access through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Reversing the Berry-Esséen Inequality
Peter Hall and A. D. Barbour
Proceedings of the American Mathematical Society
Vol. 90, No. 1 (Jan., 1984), pp. 107-110
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2044679
Page Count: 4
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
We derive a lower bound to the rate of convergence in the central limit theorem. Our result is expressed in terms similar to those of the Berry-Esséen inequality, with the distance between two distributions on one side of the inequality and an easily calculated function of the summands on the other, related by a universal constant. The proof is based on Stein's method.
Proceedings of the American Mathematical Society © 1984 American Mathematical Society