Sample autocovariances of long-memory time series

dc.creatorHorváth, Lajos
dc.creatorKokoszka, Piotr
dc.date2008-05-14
dc.date.accessioned2026-07-07T12:18:51Z
dc.date.available2026-07-07T12:18:51Z
dc.descriptionWe find the asymptotic distribution of the sample autocovariances of long-memory processes in cases of finite and infinite fourth moment. Depending on the interplay of assumptions on moments and the intensity of dependence, there are three types of convergence rates and limit distributions. In particular, a normal approximation with the standard rate does not always hold in practically relevant cases.
dc.descriptionPublished in at http://dx.doi.org/10.3150/07-BEJ113 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)
dc.identifierhttps://arxiv.org/abs/0805.2029
dc.identifierhttp://arxiv.org/abs/0805.2029
dc.identifierBernoulli 2008, Vol. 14, No. 2, 405-418
dc.identifierdoi:10.3150/07-BEJ113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212556
dc.subjectStatistics Theory
dc.titleSample autocovariances of long-memory time series
dc.typetext

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