title: A Conditional Least Squares Approach to Bilinear Time Series Estimation creator: Grahn, Thorsten subject: ddc-510 subject: 510 Mathematics description: In this paper we develop a Conditional Least Squares (CLS) procedurefor estimating bilinear time series models. We apply this method to twogeneral types of bilinear models. A model of type I is a special superdiagonalbilinear model which includes the linear ARMA model as a submodel. A model oftype II is a standardized version of the popular bilinear BL(p,0,p,1) model(see e.g. Liu and Chen (1990), Sesay and Subba Rao (1991)). For both models weshow that the limiting distribution of the resulting CLS estimates is Gaussianand the law of the iterated logarithm holds. date: 1993-04 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/21354/1/beitrag.06.pdf identifier: DOI:10.11588/heidok.00021354 identifier: urn:nbn:de:bsz:16-heidok-213545 identifier: Grahn, Thorsten (1993) A Conditional Least Squares Approach to Bilinear Time Series Estimation. [Working paper] relation: https://archiv.ub.uni-heidelberg.de/volltextserver/21354/ rights: info:eu-repo/semantics/openAccess rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html language: eng