Kernel-Based Inference In Time-Varying Coefficient Cointegrating Regression
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- Li, Degui & Phillips, Peter C.B. & Gao, Jiti, 2020. "Kernel-based Inference in Time-Varying Coefficient Cointegrating Regression," Journal of Econometrics, Elsevier, vol. 215(2), pages 607-632.
References listed on IDEAS
- Toda, Hiro Y & Phillips, Peter C B, 1993.
"Vector Autoregressions and Causality,"
Econometrica, Econometric Society, vol. 61(6), pages 1367-1393, November.
- Hiro Y. Toda & Peter C.B. Phillips, 1991. "Vector Autoregression and Causality," Cowles Foundation Discussion Papers 977, Cowles Foundation for Research in Economics, Yale University.
- 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.
- Li, Degui & Phillips, Peter C. B. & Gao, Jiti, 2016.
"Uniform Consistency Of Nonstationary Kernel-Weighted Sample Covariances For Nonparametric Regression,"
Econometric Theory, Cambridge University Press, vol. 32(3), pages 655-685, June.
- Degui Li & Peter C.B. Phillips & Jiti Gao, 2013. "Uniform Consistency of Nonstationary Kernel-Weighted Sample Covariances for Nonparametric Regression," Cowles Foundation Discussion Papers 1929, Cowles Foundation for Research in Economics, Yale University.
- Degui Li & Peter C. B. Phillips & Jiti Gao, 2013. "Uniform Consistency of Nonstationary Kernel-Weighted Sample Covariances for Nonparametric Regression," Monash Econometrics and Business Statistics Working Papers 27/13, Monash University, Department of Econometrics and Business Statistics.
- P. C. B. Phillips & S. N. Durlauf, 1986.
"Multiple Time Series Regression with Integrated Processes,"
The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(4), pages 473-495.
- Peter C.B. Phillips & Steven N. Durlauf, 1985. "Multiple Time Series Regression with Integrated Processes," Cowles Foundation Discussion Papers 768, Cowles Foundation for Research in Economics, Yale University.
- Cai, Zongwu, 2007. "Trending time-varying coefficient time series models with serially correlated errors," Journal of Econometrics, Elsevier, vol. 136(1), pages 163-188, January.
- Park, Joon Y. & Phillips, Peter C.B., 1989.
"Statistical Inference in Regressions with Integrated Processes: Part 2,"
Econometric Theory, Cambridge University Press, vol. 5(1), pages 95-131, April.
- Peter C.B. Phillips & Joon Y. Park, 1986. "Statistical Inference in Regressions with Integrated Processes: Part 2," Cowles Foundation Discussion Papers 819R, Cowles Foundation for Research in Economics, Yale University, revised Feb 1987.
- Park, Joon Y & Phillips, Peter C B, 2001.
"Nonlinear Regressions with Integrated Time Series,"
Econometrica, Econometric Society, vol. 69(1), pages 117-161, January.
- Joon Y. Park & Peter C.B. Phillips, 1998. "Nonlinear Regressions with Integrated Time Series," Cowles Foundation Discussion Papers 1190, Cowles Foundation for Research in Economics, Yale University.
- Bin Chen & Yongmiao Hong, 2012. "Testing for Smooth Structural Changes in Time Series Models via Nonparametric Regression," Econometrica, Econometric Society, vol. 80(3), pages 1157-1183, May.
- Cai, Zongwu & Li, Qi & Park, Joon Y., 2009. "Functional-coefficient models for nonstationary time series data," Journal of Econometrics, Elsevier, vol. 148(2), pages 101-113, February.
- Engle, Robert & Granger, Clive, 2015.
"Co-integration and error correction: Representation, estimation, and testing,"
Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
- Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-276, March.
- Qiying Wang & Peter C. B. Phillips, 2009.
"Structural Nonparametric Cointegrating Regression,"
Econometrica, Econometric Society, vol. 77(6), pages 1901-1948, November.
- Qiying Wang & Peter C.B. Phillips, 2008. "Structural Nonparametric Cointegrating Regression," Cowles Foundation Discussion Papers 1657, Cowles Foundation for Research in Economics, Yale University.
- Zhou Zhou & Wei Biao Wu, 2010. "Simultaneous inference of linear models with time varying coefficients," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 72(4), pages 513-531, September.
- Park, Joon Y. & Hahn, Sang B., 1999. "Cointegrating Regressions With Time Varying Coefficients," Econometric Theory, Cambridge University Press, vol. 15(5), pages 664-703, October.
- Phillips, Peter C.B. & Li, Degui & Gao, Jiti, 2017.
"Estimating smooth structural change in cointegration models,"
Journal of Econometrics, Elsevier, vol. 196(1), pages 180-195.
- Peter C. B. Phillips & Degui Li & Jiti Gao, 2013. "Estimating Smooth Structural Change in Cointegration Models," Monash Econometrics and Business Statistics Working Papers 22/13, Monash University, Department of Econometrics and Business Statistics.
- Peter C.B. Phillips & Degui Li & Jiti Gao, 2013. "Estimating Smooth Structural Change in Cointegration Models," Cowles Foundation Discussion Papers 1910, Cowles Foundation for Research in Economics, Yale University.
- Xu Cheng & P eter C. B. Phillips, 2009.
"Semiparametric cointegrating rank selection,"
Econometrics Journal, Royal Economic Society, vol. 12(s1), pages 83-104, January.
- Xu Cheng & Peter C.B. Phillips, 2008. "Semiparametric Cointegrating Rank Selection," Cowles Foundation Discussion Papers 1658, Cowles Foundation for Research in Economics, Yale University.
- Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
- Baek, Yae In & Cho, Jin Seo & Phillips, Peter C.B., 2015.
"Testing linearity using power transforms of regressors,"
Journal of Econometrics, Elsevier, vol. 187(1), pages 376-384.
- Yae In Baek & Jin Seo Cho & Peter C.B. Phillips, 2013. "Testing Linearity Using Power Transforms of Regressors," Cowles Foundation Discussion Papers 1917, Cowles Foundation for Research in Economics, Yale University.
- YAE IN BAEK & Jin Seo Cho & PETER C.B. PHILLIPS, 2015. "Testing Linearity Using Power Transforms of Regressors," Working papers 2015rwp-79, Yonsei University, Yonsei Economics Research Institute.
- Peter C. B. Phillips & Bruce E. Hansen, 1990. "Statistical Inference in Instrumental Variables Regression with I(1) Processes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(1), pages 99-125.
- Wang, Qiying & Phillips, Peter C.B., 2009.
"Asymptotic Theory For Local Time Density Estimation And Nonparametric Cointegrating Regression,"
Econometric Theory, Cambridge University Press, vol. 25(3), pages 710-738, June.
- Qiying Wang & Peter C.B. Phillips, 2006. "Asymptotic Theory for Local Time Density Estimation and Nonparametric Cointegrating Regression," Cowles Foundation Discussion Papers 1594, Cowles Foundation for Research in Economics, Yale University.
- Kunpeng Li & Degui Li & Zhongwen Liang & Cheng Hsiao, 2017. "Estimation of semi-varying coefficient models with nonstationary regressors," Econometric Reviews, Taylor & Francis Journals, vol. 36(1-3), pages 354-369, March.
- 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.
- Michael Vogt, 2012. "Nonparametric regression for locally stationary time series," CeMMAP working papers CWP22/12, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Phillips, Peter C B, 1996. "Econometric Model Determination," Econometrica, Econometric Society, vol. 64(4), pages 763-812, July.
- Phillips, P C B, 1991.
"Optimal Inference in Cointegrated Systems,"
Econometrica, Econometric Society, vol. 59(2), pages 283-306, March.
- Peter C.B. Phillips, 1988. "Optimal Inference in Cointegrated Systems," Cowles Foundation Discussion Papers 866R, Cowles Foundation for Research in Economics, Yale University, revised Aug 1989.
- Phillips, Peter C.B., 2007. "Regression With Slowly Varying Regressors And Nonlinear Trends," Econometric Theory, Cambridge University Press, vol. 23(4), pages 557-614, August.
- Giraitis, L. & Kapetanios, G. & Yates, T., 2014. "Inference on stochastic time-varying coefficient models," Journal of Econometrics, Elsevier, vol. 179(1), pages 46-65.
- Gao, Jiti & Phillips, Peter C.B., 2013. "Semiparametric estimation in triangular system equations with nonstationarity," Journal of Econometrics, Elsevier, vol. 176(1), pages 59-79.
- Phillips, Peter C B & Ouliaris, S, 1990.
"Asymptotic Properties of Residual Based Tests for Cointegration,"
Econometrica, Econometric Society, vol. 58(1), pages 165-193, January.
- Peter C.B. Phillips & Sam Ouliaris, 1987. "Asymptotic Properties of Residual Based Tests for Cointegration," Cowles Foundation Discussion Papers 847R, Cowles Foundation for Research in Economics, Yale University, revised Jul 1988.
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Cited by:
- Ying Wang & Peter C. B. Phillips, 2024. "Limit Theory of Local Polynomial Estimation in Functional Coefficient Regression," Cowles Foundation Discussion Papers 2398, Cowles Foundation for Research in Economics, Yale University.
- Haiqi Li Author-Name-First: Haiqi & Jing Zhang & Chaowen Zheng, 2023. "Estimating and Testing for Functional Coefficient Quantile Cointegrating Regression," Economics Discussion Papers em-dp2023-07, Department of Economics, University of Reading.
- Polbin, Andrey & Skrobotov, Anton, 2022. "On decrease in oil price elasticity of GDP and investment in Russia," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 66, pages 5-24.
- Friedrich, Marina & Lin, Yicong, 2024. "Sieve bootstrap inference for linear time-varying coefficient models," Journal of Econometrics, Elsevier, vol. 239(1).
- Yicong Lin & Mingxuan Song, 2023. "Robust bootstrap inference for linear time-varying coefficient models: Some Monte Carlo evidence," Tinbergen Institute Discussion Papers 23-049/III, Tinbergen Institute.
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More about this item
Keywords
Cointegration; FM-kernel estimation; Generalized Wald test; Global rotation; Kernel degeneracy; Local rotation; Super-consistency; Time-varying coefficients;All these keywords.
JEL classification:
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
- C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
NEP fields
This paper has been announced in the following NEP Reports:- NEP-ECM-2018-04-23 (Econometrics)
- NEP-ETS-2018-04-23 (Econometric Time Series)
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