Simulating properties of the likelihood ratio test for a unit root in an explosive second order autoregression
This paper provides a means of accurately simulating explosive autoregressive processes, and uses this method to analyse the distribution of the likelihood ratio test statistic for an explosive second order autoregressive process. Nielsen (2001) has shown that for the asymptotic distribution of the likelihood ratio unit root test statistic in a higher order autoregressive model, the assumption that the remaining roots are stationary is unnecessary, and as such the approximating asymptotic distribution for the test in the difference stationary region is valid in the explosive region also. However, simulations of statistics in the explosive region are beset by the magnitude of the numbers involved, which cause numerical inaccuracies, and this has previously constituted a bar on supporting asymptotic results by means of simulation, and analysing the finite sample properties of tests in the explosive region.
|Date of creation:||19 Oct 2004|
|Date of revision:|
|Contact details of provider:|| Web page: https://www.nuffield.ox.ac.uk/economics/|
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Nielsen, Bent, 2005.
"Strong Consistency Results For Least Squares Estimators In General Vector Autoregressions With Deterministic Terms,"
Cambridge University Press, vol. 21(03), pages 534-561, June.
- Bent Nielsen, 2003. "Strong consistency results for least squares estimators in general vector autoregressions with deterministic terms," Economics Series Working Papers 2003-W23, University of Oxford, Department of Economics.
- Bent Nielsen, 2003. "Strong consistency results for least squares estimators in general vector autoregressions with deterministic terms," Economics Papers 2003-W23, Economics Group, Nuffield College, University of Oxford.
- Bent Nielsen, 2004. "On the Distribution of Likelihood Ratio Test Statistics for Cointegration Rank," Econometric Reviews, Taylor & Francis Journals, vol. 23(1), pages 1-23.
- Bent Nielsen, 1999.
"The Asymptotic Distribution of Unit Root Tests of Unstable Autoregressive Processes,"
Economics Series Working Papers
1999-W19, University of Oxford, Department of Economics.
- Nielsen, Bent, 2001. "The Asymptotic Distribution of Unit Root Tests of Unstable Autoregressive Processes," Econometrica, Econometric Society, vol. 69(1), pages 211-19, January.
- Bent Nielsen, 1995.
"Bartlett correction of the unit root test in autoregressive models,"
11 & 98., Economics Group, Nuffield College, University of Oxford.
- Nielsen, B., 1995. "Bartlett Correction of the Unit Root test in Autoregressive Models," Economics Papers 98, Economics Group, Nuffield College, University of Oxford.
When requesting a correction, please mention this item's handle: RePEc:nuf:econwp:0424. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Maxine Collett)
If references are entirely missing, you can add them using this form.