On the strong law of large numbers for L-statistics with dependent data

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dc.creatorBaklanov, Evgeny
dc.date2006-09-27
dc.date.accessioned2026-07-07T08:08:13Z
dc.date.available2026-07-07T08:08:13Z
dc.descriptionThe strong law of large numbers for linear combinations of functions of order statistics ($L$-statistics) based on weakly dependent random variables is proven. We also establish the Glivenko--Cantelli theorem for $ϕ$-mixing sequences of identically distributed random variables.
dc.description6 pages. Accepted for publication in Siberian Math. Journal. See also http://www.nsu.ru/mmf/tvims/baklanov/baklanov.html
dc.identifierhttps://arxiv.org/abs/math/0609758
dc.identifierhttp://arxiv.org/abs/math/0609758
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131193
dc.subjectProbability
dc.subjectStatistics Theory
dc.subject60F15; 62G30
dc.titleOn the strong law of large numbers for L-statistics with dependent data
dc.typetext

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