Spurious regression under deterministic and stochastic trends
This paper analyses the asymptotic and finite sample implications of a mixed nonstationary behavior among the dependent and explanatory variables in a linear spurious regression model. We study the cases when the nonstationarity in the dependent variable is deterministic (stochastic), while the nonstationarity in the explanatory variable is stochastic (deterministic). In particular, we derive the asymptotic distribution of statistics in a spurious regression equation when one variable follows a difference stationary process (a random walk with and without drift), while the other is characterized by deterministic nonstationarity (a linear trend model with and without structural breaks in the trend function). We find that the divergence rate is sensitive to the assumed mixture of nonstationarity in the data generating process, and the phenomenon of spurious regression itself, contrary to previous findings, depends on the presence of a linear trend in the regression equation. Simulation experiments and real data confirm our asymptotic results.
|Date of creation:||Jun 2005|
|Publication status:||Published in Oxford Bulletin of Economics and Statistics (2007)|
|Contact details of provider:|| Postal: UCEA-Campus Marfil, Fracc. I, El Establo, Guanajuato GTO 36250|
Phone: [+52 473] 735 2925 x-2925
Fax: [+52 473] 735 2925 x-2925
Web page: http://economia.ugto.org/
More information through EDIRC
References listed on IDEAS
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.:
- Antonio E. Noriega & Daniel Ventosa-Santaularia, 2005.
"Spurious regression under broken trend stationarity,"
Department of Economics and Finance Working Papers
EM200501, Universidad de Guanajuato, Department of Economics and Finance.
- Antonio E. Noriega & Daniel Ventosa-Santaulària, 2006. "Spurious Regression Under Broken-Trend Stationarity," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(5), pages 671-684, 09.
- Daniel Ventosa-Santaularia & Antonio E. Noriega, 2005. "Spurious regression under broken trend stationarity," Computing in Economics and Finance 2005 186, Society for Computational Economics.
- Noriega, Antonio E. & Ventosa Santaulària, Daniel, 2005. "Spurious regression under broken trend stationarity," MPRA Paper 58768, University Library of Munich, Germany.
- Perron, P., 1990.
"Further Evidence On Breaking Trend Functions In Macroeconomics Variables,"
350, Princeton, Department of Economics - Econometric Research Program.
- Perron, Pierre, 1997. "Further evidence on breaking trend functions in macroeconomic variables," Journal of Econometrics, Elsevier, vol. 80(2), pages 355-385, October.
- Perron, P., 1994. "Further Evidence on Breaking Trend Functions in Macroeconomic Variables," Cahiers de recherche 9421, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Perron, P., 1994. "Further Evidence on Breaking Trend Functions in Macroeconomic Variables," Cahiers de recherche 9421, Universite de Montreal, Departement de sciences economiques.
- Marmol, Francesc, 1997.
"Spurius regression theory with nonstationary fractionally integrated processes,"
DES - Working Papers. Statistics and Econometrics. WS
10733, Universidad Carlos III de Madrid. Departamento de Estadística.
- Marmol, Francesc, 1998. "Spurious regression theory with nonstationary fractionally integrated processes," Journal of Econometrics, Elsevier, vol. 84(2), pages 233-250, June.
- Kim, Tae-Hwan & Lee, Young-Sook & Newbold, Paul, 2004. "Spurious regressions with stationary processes around linear trends," Economics Letters, Elsevier, vol. 83(2), pages 257-262, May.
- Clive Granger & Namwon Hyung & Yongil Jeon, 2001.
"Spurious regressions with stationary series,"
Taylor & Francis Journals, vol. 33(7), pages 899-904.
- Granger, Clive W.J. & Hyung, Namwon & Jeon, Yongil, 1998. "Spurious Regressions with Stationary Series," University of California at San Diego, Economics Working Paper Series qt7r3353t8, Department of Economics, UC San Diego.
- Mehl, Arnaud, 2000. "Unit root tests with double trend breaks and the 1990s recession in Japan," Japan and the World Economy, Elsevier, vol. 12(4), pages 363-379, December.
- Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
- Entorf, Horst, 1997. "Random walks with drifts: Nonsense regression and spurious fixed-effect estimation," Journal of Econometrics, Elsevier, vol. 80(2), pages 287-296, October.
- Marmol, Francesc, 1996. "Correlation theory of spuriously related higher order integrated processes," Economics Letters, Elsevier, vol. 50(2), pages 169-173, February.
- Peter C.B. Phillips, 1985.
"Understanding Spurious Regressions in Econometrics,"
Cowles Foundation Discussion Papers
757, Cowles Foundation for Research in Economics, Yale University.
- Phillips, P.C.B., 1986. "Understanding spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 33(3), pages 311-340, December.
- Robin L. Lumsdaine & David H. Papell, 1997.
"Multiple Trend Breaks And The Unit-Root Hypothesis,"
The Review of Economics and Statistics,
MIT Press, vol. 79(2), pages 212-218, May.
- Tom Doan, "undated". "LPUNIT: RATS procedure to implement Lumsdaine-Papell unit root test with structural breaks," Statistical Software Components RTS00110, Boston College Department of Economics.
- Tsay, Wen-Jen & Chung, Ching-Fan, 2000. "The spurious regression of fractionally integrated processes," Journal of Econometrics, Elsevier, vol. 96(1), pages 155-182, May.
- Noriega, Antonio E. & de Alba, Enrique, 2001. "Stationarity and structural breaks -- evidence from classical and Bayesian approaches," Economic Modelling, Elsevier, vol. 18(4), pages 503-524, December.
When requesting a correction, please mention this item's handle: RePEc:gua:wpaper:em200503. 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: (Luis Sanchez Mier)
If references are entirely missing, you can add them using this form.