A note on the distribution of the least squares estimator of a random walk with drift: Some analytical evidence
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- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
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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.
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