Central limit theorem for sampled sums of dependent random variables

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dc.creatorGuillotin-Plantard, Nadine
dc.creatorPrieur, Clémentine
dc.date2007-12-21
dc.date.accessioned2026-07-07T08:50:52Z
dc.date.available2026-07-07T08:50:52Z
dc.descriptionWe prove a central limit theorem for linear triangular arrays under weak dependence conditions. Our result is then applied to the study of dependent random variables sampled by a $\bbZ$-valued transient random walk. This extends the results obtained by Guillotin-Plantard & Schneider (2003). An application to parametric estimation by random sampling is also provided.
dc.identifierhttps://arxiv.org/abs/0712.3696
dc.identifierhttp://arxiv.org/abs/0712.3696
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144748
dc.subjectProbability
dc.subjectPrimary 60F05, 60G50, 62D05; Secondary 37C30, 37E05
dc.titleCentral limit theorem for sampled sums of dependent random variables
dc.typetext

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