Limit Theory for VARs with Mixed Roots Near Unity

Limit theory is developed for nonstationary vector autoregression (VAR) with mixed roots in the vicinity of unity involving persistent and explosive components. Statistical tests for common roots are examined and model selection approaches for discriminating roots are explored. The results are usefu...

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Bibliographic Details
Main Authors: PHILLIPS, Peter C. B., LEE, Ji Hyung
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 2015
Subjects:
C22
Online Access:https://ink.library.smu.edu.sg/soe_research/1838
https://ink.library.smu.edu.sg/context/soe_research/article/2837/viewcontent/LimitTheoryVARsMixedRoots_2015.pdf
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Institution: Singapore Management University
Language: English
Description
Summary:Limit theory is developed for nonstationary vector autoregression (VAR) with mixed roots in the vicinity of unity involving persistent and explosive components. Statistical tests for common roots are examined and model selection approaches for discriminating roots are explored. The results are useful in empirical testing for multiple manifestations of nonstationarity - in particular for distinguishing mildly explosive roots from roots that are local to unity and for testing commonality in persistence.