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VOL. 52 | 2006 Order determination in general vector autoregressions


In the application of autoregressive models the order of the model is often estimated using either a sequence of likelihood ratio tests, a likelihood based information criterion, or a residual based test. The properties of such procedures has been discussed extensively under the assumption that the characteristic roots of the autoregression are stationary. While non-stationary situations have also been considered the results in the literature depend on conditions to the characteristic roots. It is here shown that these methods for lag length determination can be used regardless of the assumption to the characteristic roots and also in the presence of deterministic terms. The proofs are based on methods developed by C. Z. Wei in his joint work with T. L. Lai.


Published: 1 January 2006
First available in Project Euclid: 28 November 2007

zbMATH: 1268.62116
MathSciNet: MR2427841

Digital Object Identifier: 10.1214/074921706000000978

Primary: 62M10
Secondary: 62F10

Rights: Copyright © 2006, Institute of Mathematical Statistics


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