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Using the Bootstrap as an Aid in Choosing the Approximate Representation for Vector Time Series
Authors:Jack H W Penm  Jammie H Penm  R D Terrell
Institution:Department of Statistics, Faculty of Economics and Commerce , The Australian National University , Canberra , A.C.T. 2601 , Australia
Abstract:In this article, a procedure is presented to use the bootstrap in choosing the best approximation in terms of forecasting performance for the equivalent state-space representation of a vector autoregressive model. It is found that the proposed procedure, which uses each approximant's forecasting performance, can enhance considerably an approach based simply on the estimated Hankel singular values.
Keywords:Initial state vector  Model reduction  Subset vector autoregression
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