On an extreme two-point distribution

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dc.creatorChebotarev, V. I.
dc.creatorKondrik, A. S.
dc.creatorMikhaylov, K. V.
dc.date2007-10-18
dc.date.accessioned2026-07-07T08:37:02Z
dc.date.available2026-07-07T08:37:02Z
dc.descriptionA bound for functional $Δ(F)=\sup_{x\in\mathbb R}|F(x)-Φ(x)|$ is obtained, which is uniform for all distribution functions $F$ of random variables with zero mean-value and unity variance. Moreover, a two-point distribution is found, for which this bound is reached.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0710.3456
dc.identifierhttp://arxiv.org/abs/0710.3456
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140268
dc.subjectProbability
dc.subject60E15
dc.titleOn an extreme two-point distribution
dc.typetext

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