title: The Asymptotic Properties of Burg Estimators creator: Hainz, Günter subject: ddc-510 subject: 510 Mathematics description: There are estimators for multivariate autoregressive models whichare regarded as multivariate versions of Burg's univariate estimator. For twoof these multivariate Burg estimators the asymptotic equivalence with theYule-Walker estimator is established in this paper, so central limit theoremsfor the Yule-Walker estimator extend to these estimators. Furthermore, theasymptotic bias of the univariate Burg estimator to terms of 1/n is shown to be thesame as the bias of the least-squares estimator; n is the number ofobservations. The main results are true even for mis-specified models. date: 1994-01 type: Working paper type: info:eu-repo/semantics/workingPaper type: NonPeerReviewed format: application/pdf identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/21333/1/beitrag.18.pdf identifier: DOI:10.11588/heidok.00021333 identifier: urn:nbn:de:bsz:16-heidok-213332 identifier: Hainz, Günter (1994) The Asymptotic Properties of Burg Estimators. [Working paper] relation: https://archiv.ub.uni-heidelberg.de/volltextserver/21333/ rights: info:eu-repo/semantics/openAccess rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html language: eng