Tula State University

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20092019

most citedOn a bound of the absolute constant in the Berry--Esseen inequality for i.i.d. Bernoulli random variables

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math.PR2018★ 17 cited

On a bound of the absolute constant in the Berry--Esseen inequality for i.i.d. Bernoulli random variables

Anatolii Zolotukhin, Sergei Nagaev, Vladimir Chebotarev

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 $1 \leq n \leq 500000$ , where…