V. Chebotarev

activity

20072018

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

17 citations · 27 across the 3 of their papers we have counts for

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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…

math.PR2007★ 3 cited

On an extreme two-point distribution

V. I. Chebotarev, A. S. Kondrik, K. V. Mikhaylov

A bound for functional $Δ (F) = sup_{x \in R} ∣ F (x) - Φ (x) ∣$ is obtained, which is uniform for all distribution functions $F$ of random variables with zero mean-value and unity va…