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Inference on cointegrating ranks using lr and lm tests based on pseudo-likelihoods

Andre Lucas

Econometric Reviews, 1998, vol. 17, issue 2, 185-214

Abstract: This paper considers Lagrange Multiplier (LM) and Likelihood Ratio (LR) tests for determining the cointegrating rank of a vector autoregressive system. n order to deal with outliers and possible fat-tailedness of the error process, non-Gaussian likelihoods are used to carry out the estimation. The limiting distributions of the tests based on these non-Gaussian pseudo-)likelihoods are derived. These distributions depend on nuisance parameters. An operational procedure is proposed to perform inference. It appears that the tests based on non-Gaussian pseudo-likelihoods are much more powerful than their Gaussian counterparts if the errors are fat-tailed. Moreover, the operational LM-type test has a better overall performance than the LR-type test. Copyright O 1998 by Marcel Dekker, Inc.

Keywords: cointegration; Lagrange multiplier test; likelihood; ratio test; outlier robustness; fat tails; GARCH; pseudo-likelihood (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (18)

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DOI: 10.1080/07474939808800411

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