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Articles

Low Frequency Cointegrating Regression with Local to Unity Regressors and Unknown Form of Serial Dependence

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References

  • Andrews, D. W. K. (1991), “Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation,” Econometrica, 59, 817–854. DOI: 10.2307/2938229.
  • Andrews, D. W. K. (1993), “Exactly Median-Unbiased Estimation of first Order Autoregressive/Unit Root Models,” Econometrica, 61, 139–165. DOI: 10.2307/2951781.
  • Andrews, D. W., and Guggenberger, P. (2014), “A Conditional-Heteroskedasticity-Robust Confidence Interval for the Autoregressive Parameter,” Review of Economics and Statistics, 96, 376–381. DOI: 10.1162/REST_a_00369.
  • Bierens, H. J. (1997), “Nonparametric Cointegration Analysis,” Journal of Econometrics, 77, 379–404. DOI: 10.1016/S0304-4076(96)01820-9.
  • Bobkoski, M. J. (1983), “Hypothesis Testing in Nonstationary Time Series,” Unpublished Ph.D. Thesis, Department of Statistics, University of Wisconsin.
  • Cavanagh, C. L., Elliott, G., and Stock, J. H. (1995), “Inference in Models with Nearly Integrated Regressors,” Econometric Theory, 11, 1131–1147. DOI: 10.1017/S0266466600009981.
  • Campbell, J. Y., and Yogo, M. (2006), “Efficient Tests of Stock Return Predictability,” Journal of Financial Economics, 81, 27–60. DOI: 10.1016/j.jfineco.2005.05.008.
  • Christiano, L. J., and Eichenbaum, M. (1990), “Unit Roots in Real GNP: Do We Know, and Do We Care?” in: Carnegie-Rochester Conference Series on Public Policy (Vol. 32), pp. 7–61, North-Holland. DOI: 10.1016/0167-2231(90)90021-C.
  • Davidson, J. (1994), Stochastic Limit Theory: An Introduction for Econometricians, Oxford: Oxford University Press.
  • Duffy, J. A., and Simons, J. R. (2020), “The Cointegrated VAR without Unit Roots: Representation Theory and Asymptotics,” arXiv preprint arXiv:2002.08092.
  • Elliott, G. (1998), “On the Robustness of Cointegration Methods When Regressors Almost Have Unit Roots,” Econometrica, 66, 149–158. DOI: 10.2307/2998544.
  • Elliott, G. (2011), “A Control Function Approach for Testing the Usefulness of Trending Variables in Forecast Models and Linear Regression,” Journal of Econometrics, 164, 79–91. DOI: 10.1016/j.jeconom.2011.02.014.
  • Elliott, G., and Stock, J. H. (2001), “Confidence Intervals for Autoregressive Coefficients Near One,” Journal of Econometrics, 103, 155–181. DOI: 10.1016/S0304-4076(01)00042-2.
  • Engle, R. F., and Granger, C. W. (1987), “Co-Integration and Error Correction: Representation, Estimation, and Testing,” Econometrica: Journal of the Econometric Society, 55, 251–276. DOI: 10.2307/1913236.
  • Franchi, M., and Johansen, S. (2017), “Improved Inference on Cointegrating Vectors in the Presence of a Near Unit Root Using Adjusted Quantiles,” Econometrics, 5, 25. DOI: 10.3390/econometrics5020025.
  • Hansen, B. E. (1999), “The Grid Bootstrap and the Autoregressive Model,” Review of Economics and Statistics, 81, 594–607. DOI: 10.1162/003465399558463.
  • Hwang, J., and Sun, Y. (2017), “Simple, Robust, and Accurate F and t Tests in Cointegrated Systems,” Econometric Theory, 34, 949–984. DOI: 10.1017/S026646661700038X.
  • Hwang, J., and Valdés, G. (2022), “Finite-Sample Corrected Inference for Two-Step GMM in Time Series,” Journal of Econometrics (Forthcoming). DOI: 10.1016/j.jeconom.2021.12.007.
  • Jansson, M., and Moreira, M. J. (2006), “Optimal Inference in Regression Models with Nearly Integrated Regressors,” Econometrica, 74, 681–714. DOI: 10.1111/j.1468-0262.2006.00679.x.
  • Jin, S., Phillips, P. C., and Sun, Y. (2006), “A New Approach to Robust Inference in Cointegration,” Economics Letters, 91, 300–306. DOI: 10.1016/j.econlet.2005.12.019.
  • Kiefer, N. M., and Vogelsang, T. J. (2005), “A New Asymptotic Theory for Heteroskedasticity-Autocorrelation Robust Tests,” Econometric Theory, 21, 1130–1164. DOI: 10.1017/S0266466605050565.
  • Kostakis, A., Magdalinos, T., and Stamatogiannis, M. P. (2015), “Robust Econometric Inference for Stock Return Predictability,” The Review of Financial Studies, 28, 1506–1553. DOI: 10.1093/rfs/hhu139.
  • Lazarus, E., Lewis, D. J., Stock, J. H., and Watson, M. W. (2018), “HAR Inference: Recommendations for Practice,” Journal of Business & Economic Statistics, 36, 541–559. DOI: 10.1080/07350015.2018.1506926.
  • McCloskey, A. (2017), “Bonferroni-based Size-Correction for Nonstandard Testing Problems,” Journal of Econometrics, 200, 17–35. DOI: 10.1016/j.jeconom.2017.05.001.
  • Mikusheva, A. (2007), “Uniform Inference in Autoregressive Models,” Econometrica, 75, 1411–1452. DOI: 10.1111/j.1468-0262.2007.00798.x.
  • Müller, U. K., (2007), “A Theory of Robust Long-Run Variance Estimation,” Journal of Econometrics, 141, 1331–1352. DOI: 10.1016/j.jeconom.2007.01.019.
  • Müller, U. K. (2014), “HAC Corrections for Strongly Autocorrelated Time Series,” Journal of Business & Economic Statistics, 32, 311–322.
  • Müller, U. K., and Watson, M. W. (2008), “Testing Models of Low Frequency Variability,” Econometrica, 76, 979–1016.
  • Müller, U. K., and Watson, M. W. (2013), “Low-Frequency Robust Cointegration Testing,” Journal of Econometrics, 174, 66–81. DOI: 10.1016/j.jeconom.2012.09.006.
  • Müller, U., and Watson, M. (2017), “Low-Frequency Econometrics,” in: Advances in Economics and Econometrics: Eleventh World Congress (Econometric Society Monographs, eds. B. Honoré, A. Pakes, M. Piazzesi, and L. Samuelson, pp. 53–94, Cambridge: Cambridge University Press. DOI: 10.1017/9781108227223.003.
  • Müller, U., and Watson, M. (2020), “Low-Frequency Analysis of Economic Time Series,” in: Handbook of Econometrics, Elsevier (preparation).
  • Newey, W., and West, K. (1987), “A Simple Positive Definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator,” Econometrica, 55, 703–708. DOI: 10.2307/1913610.
  • Park, J. Y., and Phillips, P. C. (1988), “Statistical Inference in Regressions with Integrated Processes: Part 1,” Econometric Theory, 4, 468–497. DOI: 10.1017/S0266466600013402.
  • Phillips, P. C. (1987), “Towards a Unified Asymptotic Theory for Autoregression,” Biometrika, 74, 535–547. DOI: 10.1093/biomet/74.3.535.
  • Phillips, P. C. (1991a), “Spectral Regression for Cointegrated Time Series,” in: Nonparametric and Semiparametric Methods in Economics and Statistics, eds. W. Barnett, J. Powell, and G. Tauchen, pp. 413–435, New York: Cambridge University Press.
  • Phillips, P. C. (1991b), “Optimal Inference in Cointegrated Systems,” Econometrica: Journal of the Econometric Society, 59, 283–306. DOI: 10.2307/2938258.
  • Phillips, P. C. (2005), “HAC Estimation by Automated Regression,” Econometric Theory, 21, 116–142. DOI: 10.1017/S0266466605050085.
  • Phillips, P. C. (2014a), “Optimal Estimation of Cointegrated Systems with Irrelevant Instruments,” Journal of Econometrics, 178, 210–224. DOI: 10.1016/j.jeconom.2013.08.022.
  • Phillips, P. C. (2014b), “On Confidence Intervals for Autoregressive Roots and Predictive Regression,” Econometrica, 82, 1177–1195.
  • Phillips, P. C., and Durlauf, S. N. (1986), “Multiple Regression with Integrated Processes,” Review of Economic Studies, 53, 473–496. DOI: 10.2307/2297602.
  • Phillips, P. C., and Hansen, B. E. (1990), “Statistical Inference in Instrumental Variables Regression with I(1) Processes,” Review of Economic Studies, 57, 99–125. DOI: 10.2307/2297545.
  • Phillips, P. C., and Lee, J. H. (2016), “Robust Econometric Inference with Mixed Integrated and Mildly Explosive Regressors,” Journal of Econometrics, 192, 433–450. DOI: 10.1016/j.jeconom.2016.02.009.
  • Phillips, P.C., and Magdalinos, T. (2009), “Econometric Inference in the Vicinity of Unity,” Singapore Management University, CoFie working paper, 7.
  • Saikkonen, P. (1991), “Asymptotically Efficient Estimation of Cointegration Regressions,” Econometric Theory, 7, 1–21. DOI: 10.1017/S0266466600004217.
  • Stock, J. (1991), “Confidence Intervals for the Largest Autoregressive Root in U.S. Macroeconomic Time Series,” Journal of Monetary Economics, 28, 435–459. DOI: 10.1016/0304-3932(91)90034-L.
  • Sun, Y., Phillips, P. C. B., and Jin, S. (2008), “Optimal Bandwidth Selection in Heteroskedasticity-Autocorrelation Robust Testing,” Econometrica, 76, 175–194. DOI: 10.1111/j.0012-9682.2008.00822.x.
  • Sun, Y. (2020), “Some Extensions of Asymptotic F and t Theory in Nonstationary Regressions,” working paper.
  • Sun, Y. (2013), “A Heteroskedasticity and Autocorrelation Robust F Test Using an Orthonormal Series Variance Estimator,” The Econometrics Journal, 16, 1–26. DOI: 10.1111/j.1368-423X.2012.00390.x.
  • Sun, Y. (2014), “HAC Corrections for Strongly Autocorrelated Time Series Comment,” Journal of Business & Economic Statistics, 32, 311–322.
  • Vogelsang, T. J., and Wagner, M. (2014), “Integrated Modified OLS Estimation and Fixed-b Inference for Cointegrating Regressions,” Journal of Econometrics, 178, 741–760. DOI: 10.1016/j.jeconom.2013.10.015.

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