Asymptotic Inference For Unit Root Processes With Garch(1,1) Errors
AbstractThis paper investigates the so-called one-step local quasi maximum likelihood estimator for the unit root process with GARCH(1,1) errors. When the scaled conditional errors (the ratio of the disturbance to the conditional standard deviation) follow a symmetric distribution, the asymptotic distribution of the estimated unit root is derived only under the second-order moment condition. It is shown that this distribution is a functional of a bivariate Brownian motion as in Ling and Li (1998, Annals of Statistics 26, 84 125) and can be used to construct the unit root test.The authors thank the co-editor, Bruce Hansen, and two referees for very helpful comments and suggestions. W.K. Li s research is partially supported by the Hong Kong Research Grants Council. Ling s research is supported by RGC Competitive Earmarked Research grant HKUST6113 02P.
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Bibliographic InfoArticle provided by Cambridge University Press in its journal Econometric Theory.
Volume (Year): 19 (2003)
Issue (Month): 04 (August)
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- Li, Yushu & Shukur, Ghazi, 2009. "Testing for Unit Root against LSTAR Model: Wavelet Improvement under GARCH Distortion," CAFO Working Papers 2009:6, Centre for Labour Market Policy Research (CAFO), School of Business and Economics, Linnaeus University.
- Li, Yushu & Shukur, Ghazi, 2009. "Wavelet Improvement of the Over-rejection of Unit root test under GARCH errors," CAFO Working Papers 2009:7, Centre for Labour Market Policy Research (CAFO), School of Business and Economics, Linnaeus University.
- H. Peter Boswijk & Franc Klaassen, 2005. "Why Frequency Matters for Unit Root Testing," Tinbergen Institute Discussion Papers 04-119/4, Tinbergen Institute.
- Jin-Yu Zhang & Yong Li & Zhu-Ming Chen, 2013. "Unit Root Hypothesis in the Presence of Stochastic Volatility, a Bayesian Analysis," Computational Economics, Society for Computational Economics, vol. 41(1), pages 89-100, January.
- Li, Yushu, 2012. "Wavelet Based Outlier Correction for Power Controlled Turning Point Detection in Surveillance Systems," Working Papers 2012:12, Lund University, Department of Economics.
- Wang, Gaowen, 2006. "A note on unit root tests with heavy-tailed GARCH errors," Statistics & Probability Letters, Elsevier, vol. 76(10), pages 1075-1079, May.
- Paulo Rodrigues & Antonio Rubia, 2008. "A note on testing for nonstationarity in autoregressive processes with level dependent conditional heteroskedasticity," Statistical Papers, Springer, vol. 49(3), pages 581-593, July.
- Gospodinov, Nikolay, 2008. "Asymptotic and bootstrap tests for linearity in a TAR-GARCH(1,1) model with a unit root," Journal of Econometrics, Elsevier, vol. 146(1), pages 146-161, September.
- Yushu Li, 2011. "Wavelet Based Outlier Correction for Power Controlled Turning Point Detection in Surveillance Systems," CREATES Research Papers 2011-29, School of Economics and Management, University of Aarhus.
- Chor-yiu SIN, 2004. "Estimation and Testing for Partially Nonstationary Vector Autoregressive Models with GARCH: WLS versus QMLE," Econometric Society 2004 Australasian Meetings 92, Econometric Society.
- Li, Yushu & Shukur, Ghazi, 2009. "Testing for Unit Root against LSTAR model – wavelet improvements under GARCH distortion," Working Paper Series in Economics and Institutions of Innovation 184, Royal Institute of Technology, CESIS - Centre of Excellence for Science and Innovation Studies.
- Horváth, Lajos & Kokoszka, Piotr, 2003. "A bootstrap approximation to a unit root test statistic for heavy-tailed observations," Statistics & Probability Letters, Elsevier, vol. 62(2), pages 163-173, April.
- Li, Yong & Chong, Terence Tai-Leung & Zhang, Jie, 2012. "Testing for a unit root in the presence of stochastic volatility and leverage effect," Economic Modelling, Elsevier, vol. 29(5), pages 2035-2038.
- Francq, Christian & Makarova, Svetlana & Zakoi[diaeresis]an, Jean-Michel, 2008. "A class of stochastic unit-root bilinear processes: Mixing properties and unit-root test," Journal of Econometrics, Elsevier, vol. 142(1), pages 312-326, January.
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