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Business

Singapore Management University

2024

Companion matrix

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Specifying And Estimating Vector Autoregressions Using Their Eigensystem Representation, Leo Krippner May 2024

Specifying And Estimating Vector Autoregressions Using Their Eigensystem Representation, Leo Krippner

Sim Kee Boon Institute for Financial Economics

This article introduces the principles and mechanics of the eigensystem vector autoregression (EVAR) framework, where a VAR may be specified and estimated directly via its eigenvalue and eigenvector parameters. Using explicit constraints on the eigensystem permits control of a VAR ís allowable dynamics, which is illustrated empirically with standard and time-varying VAR estimations specified to be always non-explosive.