A Nonlinear IV Likelihood-Based Rank Test for Multivariate Time Series and Long Panels
J. Miller
No 1001, Working Papers from Department of Economics, University of Missouri
Abstract:
A test for the rank of a vector error correction model (VECM) or panel VECM based on the well-known trace test is proposed. The proposed test employs instrumental variables (IV's) generated by a class of nonlinear functions of the estimated stochastic trends of the VECM under the null. The test improves the standard trace test by replacing the non-standard critical values with chi-squared critical values. Extending the result to the panel VECM case, the test is robust to cross-sectional correlation of the disturbances. With this test, I extend earlier research using nonlinear IV's for unit root testing. However, the optimal instrument in the univariate case is not admissable in the more general multivariate case. The chi-squared result suggests that IV tests may be used to replace limits of other standard tests with integrated time series that are given by nonstandard stochastic integrals, even without a panel with which to pool tests.
Keywords: VECM; panel VECM; cointegrating rank; trace test; nonlinear instruments (search for similar items in EconPapers)
JEL-codes: C12 C32 C33 (search for similar items in EconPapers)
Pages: 22 pgs.
Date: 2010-01-30
New Economics Papers: this item is included in nep-ecm, nep-ets and nep-ore
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Citations: View citations in EconPapers (4)
Published in Journal of Time Series Econometrics 2010
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Journal Article: A Nonlinear IV Likelihood-Based Rank Test for Multivariate Time Series and Long Panels (2010) 
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