Inconsistent VAR Regression with Common Explosive Roots

Nielsen (Working paper, University of Oxford, 2009) shows that vector autoregression is inconsistent when there are common explosive roots with geometric multiplicity greater than unity. This paper discusses that result, provides a coexplosive system extension and an illustrative example that helps...

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Main Authors: PHILLIPS, Peter C. B., MAGDALINOS, Tassos
格式: text
語言:English
出版: Institutional Knowledge at Singapore Management University 2013
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在線閱讀:https://ink.library.smu.edu.sg/soe_research/1832
https://ink.library.smu.edu.sg/context/soe_research/article/2831/viewcontent/Inconsistent_VAR_Regression_with_Common_Explosive_Roots.pdf
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機構: Singapore Management University
語言: English
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總結:Nielsen (Working paper, University of Oxford, 2009) shows that vector autoregression is inconsistent when there are common explosive roots with geometric multiplicity greater than unity. This paper discusses that result, provides a coexplosive system extension and an illustrative example that helps to explain the finding, gives a consistent instrumental variable procedure, and reports some simulations. Some exact limit distribution theory is derived and a useful new reverse martingale central limit theorem is proved.