On a bound of the absolute constant in the Berry–Esseen inequality for i.i.d. Bernoulli random variables
It is shown that the absolute constant in the Berry–Esseen inequality for i.i.d. Bernoulli random variables is strictly less than the Esseen constant, if 1≤n≤500000, where n is a number of summands. This result is got both with the help of a supercomputer and an interpolation theorem, which is prove...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
VTeX
2018-09-01
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| Series: | Modern Stochastics: Theory and Applications |
| Subjects: | |
| Online Access: | https://www.vmsta.org/journal/VMSTA/article/129/info |