A note on the distribution of the least squares estimator of a random walk with drift: Some analytical evidence
Author
Abstract
Suggested Citation
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Hylleberg, Svend & Mizon, Grayham E., 1989. "A note on the distribution of the least squares estimator of a random walk with drift," Economics Letters, Elsevier, vol. 29(3), pages 225-230.
- Phillips, P C B, 1987.
"Time Series Regression with a Unit Root,"
Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
- Phillips, P.C.B., 1986. "Testing for a Unit Root in Time Series Regression," Cahiers de recherche 8633, Universite de Montreal, Departement de sciences economiques.
- Peter C.B. Phillips & Pierre Perron, 1986. "Testing for a Unit Root in Time Series Regression," Cowles Foundation Discussion Papers 795R, Cowles Foundation for Research in Economics, Yale University, revised Sep 1987.
- Tom Doan, "undated". "PPUNIT: RATS procedure to perform Phillips-Perron Unit Root test," Statistical Software Components RTS00160, Boston College Department of Economics.
- Park, Joon Y. & Phillips, Peter C.B., 1988.
"Statistical Inference in Regressions with Integrated Processes: Part 1,"
Econometric Theory, Cambridge University Press, vol. 4(3), pages 468-497, December.
- Peter C.B. Phillips & Joon Y. Park, 1986. "Statistical Inference in Regressions with Integrated Processes: Part 1," Cowles Foundation Discussion Papers 811R, Cowles Foundation for Research in Economics, Yale University, revised Aug 1987.
- Haldrup, Niels, 1996. "Mirror image distributions and the Dickey-Fuller regression with a maintained trend," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 301-312.
- Schmidt, P., 1988. "Dickey-Fuller Tests With Drift," Papers 8717, Michigan State - Econometrics and Economic Theory.
- Phillips, P C B, 1987.
"Time Series Regression with a Unit Root,"
Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
- Peter C.B. Phillips, 1985. "Time Series Regression with a Unit Root," Cowles Foundation Discussion Papers 740R, Cowles Foundation for Research in Economics, Yale University, revised Feb 1986.
- Nabeya, Seiji & Sørensen, Bent E., 1994. "Asymptotic Distributions of the Least-Squares Estimators and Test Statistics in the Near Unit Root Model with Non-Zero Initial Value and Local Drift and Trend," Econometric Theory, Cambridge University Press, vol. 10(5), pages 937-966, December.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Qiankun Zhou & Jun Yu, 2010.
"Asymptotic Distributions of the Least Squares Estimator for Diffusion Processes,"
Working Papers
20-2010, Singapore Management University, School of Economics.
- Qiankun Zhou & Jun Yu, 2012. "Asymptotic Distributions of the Least Squares Estimator for Diffusion Processes," Working Papers 11-2012, Singapore Management University, School of Economics.
- Guillaume Chevillon, 2017.
"Robust cointegration testing in the presence of weak trends, with an application to the human origin of global warming,"
Econometric Reviews, Taylor & Francis Journals, vol. 36(5), pages 514-545, May.
- Guillaume Chevillon, 2013. "Robust Cointegration Testing in the Presence of Weak Trends, with an Application to the Human Origin of Global Warming," Working Papers hal-00914830, HAL.
- Chevillon, Guillaume, 2013. "Robust Cointegration Testing in the Presence of Weak Trends, with an Application to the Human Origin of Global Warming," ESSEC Working Papers WP1320, ESSEC Research Center, ESSEC Business School.
- Chevillon, Guillaume, 2007. "Inference in the Presence of Stochastic and Deterministic Trends," ESSEC Working Papers DR 07021, ESSEC Research Center, ESSEC Business School.
- Bierens, Herman J., 1997. "Testing the unit root with drift hypothesis against nonlinear trend stationarity, with an application to the US price level and interest rate," Journal of Econometrics, Elsevier, vol. 81(1), pages 29-64, November.
- Chevillon, Guillaume, 2017. "Robustness of Multistep Forecasts and Predictive Regressions at Intermediate and Long Horizons," ESSEC Working Papers WP1710, ESSEC Research Center, ESSEC Business School.
- Haldrup, Niels, 1996. "Mirror image distributions and the Dickey-Fuller regression with a maintained trend," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 301-312.
- Zhou, Qiankun & Yu, Jun, 2015. "Asymptotic theory for linear diffusions under alternative sampling schemes," Economics Letters, Elsevier, vol. 128(C), pages 1-5.
- Paulo M.M. Rodrigues & Antonio Rubia, 2004.
"On The Small Sample Properties Of Dickey Fuller And Maximum Likelihood Unit Root Tests On Discrete-Sampled Short-Term Interest Rates,"
Working Papers. Serie AD
2004-11, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Paulo M. M. Rodrigues & Antonio Rubia, 2004. "On the Small Sample Properties of Dickey Fuller and Maximum Likelihood Unit Root Tests on Discrete-Sampled Short-Term Interest Rates," Econometrics 0405004, University Library of Munich, Germany.
- repec:hal:journl:hal-00914830 is not listed on IDEAS
- repec:ebl:ecbull:v:3:y:2004:i:12:p:1-7 is not listed on IDEAS
- Chevillon, Guillaume, 2012. "Local-Explosive Approximations to Null Distributions of the Johansen Cointegration Test, with an Application to Cyclical Concordance in the Euro Area," ESSEC Working Papers WP1210, ESSEC Research Center, ESSEC Business School.
- Hellstrom, Jorgen, 2001. "Unit root testing in integer-valued AR(1) models," Economics Letters, Elsevier, vol. 70(1), pages 9-14, January.
- Uwe Hassler & Francesc Marmol & Carlos Velasco, 2008. "Fractional cointegration in the presence of linear trends," Journal of Time Series Analysis, Wiley Blackwell, vol. 29(6), pages 1088-1103, November.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Pentti Saikkonen & Rickard Sandberg, 2016.
"Testing for a Unit Root in Noncausal Autoregressive Models,"
Journal of Time Series Analysis, Wiley Blackwell, vol. 37(1), pages 99-125, January.
- Saikkonen, Pentti & Sandberg, Rickard, 2013. "Testing for a unit root in noncausal autoregressive models," Bank of Finland Research Discussion Papers 26/2013, Bank of Finland.
- José Roberto López, 1993. "Market efficiency, purchasing power parity and cointegration in Central American black foreing exchange markets," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 8(1), pages 111-153.
- Peter C.B. Phillips & Peter Schmidt, 1989.
"Testing for a Unit Root in the Presence of Deterministic Trends,"
Cowles Foundation Discussion Papers
933, Cowles Foundation for Research in Economics, Yale University.
- Schmidt, P. & Phillips, P.C.B., 1990. "Testing forUnit Root in the Presence of Deterministic Trends," Papers 8904, Michigan State - Econometrics and Economic Theory.
- Werner Ploberger & Peter C.B. Phillips, 1998. "Rissanen's Theorem and Econometric Time Series," Cowles Foundation Discussion Papers 1197, Cowles Foundation for Research in Economics, Yale University.
- Campos, Julia & Ericsson, Neil R. & Hendry, David F., 1996.
"Cointegration tests in the presence of structural breaks,"
Journal of Econometrics, Elsevier, vol. 70(1), pages 187-220, January.
- Julia Campos & Neil R. Ericsson & David F. Hendry, 1993. "Cointegration tests in the presence of structural breaks," International Finance Discussion Papers 440, Board of Governors of the Federal Reserve System (U.S.).
- Joseph Beaulieu, J. & Miron, Jeffrey A., 1993.
"Seasonal unit roots in aggregate U.S. data,"
Journal of Econometrics, Elsevier, vol. 55(1-2), pages 305-328.
- J. Joseph Beaulieu & Jeffrey A. Miron, 1992. "Seasonal Unit Roots in Aggregate U.S. Data," NBER Technical Working Papers 0126, National Bureau of Economic Research, Inc.
- Peter C. B. Phillips, 2023.
"Discrete Fourier Transforms of Fractional Processes with Econometric Applications,"
Advances in Econometrics, in: Essays in Honor of Joon Y. Park: Econometric Theory, volume 45, pages 3-71,
Emerald Group Publishing Limited.
- Peter C.B. Phillips, 2021. "Discrete Fourier Transforms of Fractional Processes with Econometric Applications," Cowles Foundation Discussion Papers 2303, Cowles Foundation for Research in Economics, Yale University.
- Lee, Dongin & Schmidt, Peter, 1996.
"On the power of the KPSS test of stationarity against fractionally-integrated alternatives,"
Journal of Econometrics, Elsevier, vol. 73(1), pages 285-302, July.
- Lee, D. & Schmidt, P., 1993. "On the Power of the KPSS Test of Stationarity Against Fractionally-Integrated Alternatives," Papers 9111, Michigan State - Econometrics and Economic Theory.
- Phillips, Peter C.B. & Moon, Hyungsik Roger & Xiao, Zhijie, 2001.
"How To Estimate Autoregressive Roots Near Unity,"
Econometric Theory, Cambridge University Press, vol. 17(1), pages 29-69, February.
- Peter C.B. Phillips & Hyungsik R. Moon & Zhijie Xiao, 1998. "How to Estimate Autoregressive Roots Near Unity," Cowles Foundation Discussion Papers 1191, Cowles Foundation for Research in Economics, Yale University.
- Phillips, Peter C.B. & Moon, Hyungsik R., 1999. "How to Estimate Autoregressive Roots Near Unity," University of California at Santa Barbara, Economics Working Paper Series qt87p2z8zx, Department of Economics, UC Santa Barbara.
- Bierens, Herman J., 1997. "Testing the unit root with drift hypothesis against nonlinear trend stationarity, with an application to the US price level and interest rate," Journal of Econometrics, Elsevier, vol. 81(1), pages 29-64, November.
- Chang, Yoosoon, 2003. "Nonlinear IV Panel Unit Root Tests," Working Papers 2003-06, Rice University, Department of Economics.
- Phillips, Peter C B, 1995.
"Fully Modified Least Squares and Vector Autoregression,"
Econometrica, Econometric Society, vol. 63(5), pages 1023-1078, September.
- Peter C.B. Phillips, 1993. "Fully Modified Least Squares and Vector Autoregression," Cowles Foundation Discussion Papers 1047, Cowles Foundation for Research in Economics, Yale University.
- Cheng, Xu & Phillips, Peter C.B., 2012.
"Cointegrating rank selection in models with time-varying variance,"
Journal of Econometrics, Elsevier, vol. 169(2), pages 155-165.
- Xu Cheng & Peter C. B. Phillips, 2009. "Cointegrating Rank Selection in Models with Time-Varying Variance," Cowles Foundation Discussion Papers 1688, Cowles Foundation for Research in Economics, Yale University.
- Sandberg, Rickard, 2016. "Trends, unit roots, structural changes, and time-varying asymmetries in U.S. macroeconomic data: the Stock and Watson data re-examined," Economic Modelling, Elsevier, vol. 52(PB), pages 699-713.
- Hallin, Marc & van den Akker, Ramon & Werker, Bas J.M., 2011.
"A class of simple distribution-free rank-based unit root tests,"
Journal of Econometrics, Elsevier, vol. 163(2), pages 200-214, August.
- Marc Hallin & Ramon van den Akker & Bas J.M. Werker, 2011. "A class of simple distribution-free rank-based unit root tests," Post-Print hal-00834424, HAL.
- Choi, In & Chul Ahn, Byung, 1998. "Testing the null of stationarity for multiple time series," Journal of Econometrics, Elsevier, vol. 88(1), pages 41-77, November.
- Hiroaki Chigira & Taku Yamamoto, 2009.
"Forecasting in large cointegrated processes,"
Journal of Forecasting, John Wiley & Sons, Ltd., vol. 28(7), pages 631-650.
- Hiroaki Chigira & Taku Yamamoto, 2006. "Forcasting in large cointegrated processes," Hi-Stat Discussion Paper Series d06-169, Institute of Economic Research, Hitotsubashi University.
- Zivot, Eric & Andrews, Donald W K, 2002.
"Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis,"
Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 25-44, January.
- Zivot, Eric & Andrews, Donald W K, 1992. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 251-270, July.
- Eric Zivot & Donald W.K. Andrews, 1990. "Further Evidence on the Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Cowles Foundation Discussion Papers 944, Cowles Foundation for Research in Economics, Yale University.
- James Davidson, 2013. "Cointegration and error correction," Chapters, in: Nigar Hashimzade & Michael A. Thornton (ed.), Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 7, pages 165-188, Edward Elgar Publishing.
- Pierre Perron & Gabriel Rodriguez, 2012. "Residual test for cointegration with GLS detrended data," Documentos de Trabajo / Working Papers 2012-327, Departamento de Economía - Pontificia Universidad Católica del Perú.
Corrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecolet:v:48:y:1995:i:3-4:p:221-228. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.elsevier.com/locate/ecolet .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.