On parameter estimation for locally stationary long-memory processes

dc.contributor.authorBeran, Jan
dc.date.accessioned2011-03-22T17:44:57Zdeu
dc.date.available2011-03-22T17:44:57Zdeu
dc.date.issued2007deu
dc.description.abstractWe consider parameter estimation for time-dependent locally stationary long-memory processes. The asymptotic distribution of an estimator based on the local infinite autoregressive representation is derived, and asymptotic formulas for the mean squared error of the estimator, and the asymptotically optimal bandwidth are obtained. In spite of long memory, the optimal bandwidth turns out to be of the order n-1/5 and inversely proportional to the square of the second derivative of d. In this sense, local estimation of d is comparable to regression smoothing with iid residuals.eng
dc.description.versionpublished
dc.format.mimetypeapplication/pdfdeu
dc.identifier.ppn322505216deu
dc.identifier.urihttp://kops.uni-konstanz.de/handle/123456789/531
dc.language.isoengdeu
dc.legacy.dateIssued2010deu
dc.relation.ispartofseriesCoFE-Diskussionspapiere / Zentrum für Finanzen und Ökonometrie
dc.rightsAttribution-NonCommercial-NoDerivs 2.0 Generic
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.0/
dc.subjectlong memorydeu
dc.subjectbandwidth selectiondeu
dc.subjectlocal stationaritydeu
dc.subjectfractional ARIMA processdeu
dc.subject.ddc330deu
dc.titleOn parameter estimation for locally stationary long-memory processeseng
dc.typeWORKINGPAPERdeu
dspace.entity.typePublication
kops.bibliographicInfo.seriesNumber2007/13deu
kops.citation.bibtex
@techreport{Beran2007param-531,
  year={2007},
  series={CoFE-Diskussionspapiere / Zentrum für Finanzen und Ökonometrie},
  title={On parameter estimation for locally stationary long-memory processes},
  number={2007/13},
  author={Beran, Jan},
  note={Also publ. in: Journal of Statistical Planning and Inference ; 139 (2009), 3. - S. 900-915}
}
kops.citation.iso690BERAN, Jan, 2007. On parameter estimation for locally stationary long-memory processesdeu
kops.citation.iso690BERAN, Jan, 2007. On parameter estimation for locally stationary long-memory processeseng
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kops.description.commentAlso publ. in: Journal of Statistical Planning and Inference ; 139 (2009), 3. - S. 900-915eng
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