This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

Nonlinear econometric models with cointegrated and deterministically trending regressors

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
YOOSOON CHANG
JOON Y. PARK
PETER C. B. PHILLIPS

Additional information is available for the following registered author(s):

Abstract

This paper develops an asymptotic theory for a general class of nonlinear non-stationary regressions, extending earlier work by Phillips and Hansen (1990) on linear coin-tegrating regressions.The model considered accommodates a linear time trend and stationary regressors, as well as multiple I(1) regressors. We establish consistency and derive the limit distribution of the nonlinear least squares estimator. The estimator is consistent under fairly general conditions but the convergence rate and the limiting distribution are critically dependent upon the type of the regression function. For integrable regression functions, the parameter estimates converge at a reduced n 1 4 rate and have mixed normal limit distributions. On the other hand, if the regression functions are homogeneous at infinity, the convergence rates are determined by the degree of the asymptotic homogeneity and the limit distributions are non-Gaussian. It is shown that nonlinear least squares generally yields inefficient estimators and invalid tests, just as in linear nonstationary regressions. The paper proposes a methodol-ogy to overcome such difficulties. The approach is simple to implement, produces efficient estimates and leads to tests that are asymptotically chi-square. It is implemented in empirical applications in much the same way as the fully modified estimator of Phillips and Hansen.

Download Info
To our knowledge, this item is not available for download. To find whether it is available, there are three options:
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page whether it is in fact available.
3. Perform a search for a similarly titled item that would be available.

Publisher Info
Article provided by Royal Economic Society in its journal The Econometrics Journal.

Volume (Year): 4 (2001)
Issue (Month): 1 ()
Pages: 1-36
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:ect:emjrnl:v:4:y:2001:i:1:p:1-36

Contact details of provider:
Web page: http://www.res.org.uk/
More information through EDIRC

Order Information:
Web: http://www.ectj.org

For technical questions regarding this item, or to correct its listing, contact: (Christopher F. Baum).

Related research
Keywords: Nonlinear regressions; Integrated time series; Nonlinear least squares; Brown-ian motion; Brownian local time.;

Other versions of this item:

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.:
  1. Park, Joon Y, 1992. "Canonical Cointegrating Regressions," Econometrica, Econometric Society, vol. 60(1), pages 119-43, January. [Downloadable!] (restricted)
  2. repec:cup:etheor:v:8:y:1992:i:4:p:489-500 is not listed on IDEAS
  3. repec:cup:etheor:v:7:y:1991:i:1:p:1-21 is not listed on IDEAS
  4. Peter C.B. Phillips & Joon Y. Park, 1986. "Statistical Inference in Regressions with Integrated Processes: Part 2," Cowles Foundation Discussion Papers 819R, Cowles Foundation, Yale University, revised Feb 1987. [Downloadable!]
    Other versions:
  5. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July. [Downloadable!] (restricted)
    Other versions:
  6. Phillips, P C B, 1991. "Optimal Inference in Cointegrated Systems," Econometrica, Econometric Society, vol. 59(2), pages 283-306, March. [Downloadable!] (restricted)
    Other versions:
  7. Andrews, Donald W K & McDermott, C John, 1995. "Nonlinear Econometric Models with Deterministically Trending Variables," Review of Economic Studies, Blackwell Publishing, vol. 62(3), pages 343-60, July. [Downloadable!] (restricted)
    Other versions:
  8. Saikkonen, Pentti, 1991. "Asymptotically Efficient Estimation of Cointegration Regressions," Econometric Theory, Cambridge University Press, vol. 7(01), pages 1-21, March. [Downloadable!]
  9. Park, Joon Y. & Phillips, Peter C.B., 1999. "Asymptotics For Nonlinear Transformations Of Integrated Time Series," Econometric Theory, Cambridge University Press, vol. 15(03), pages 269-298, June. [Downloadable!]
    Other versions:
  10. Joon Y. Park & Peter C. B. Phillips, 2000. "Nonstationary Binary Choice," Econometrica, Econometric Society, vol. 68(5), pages 1249-1280, September.
    Other versions:
  11. Joon Y. Park & Peter C.B. Phillips, 1998. "Nonlinear Regressions with Integrated Time Series," Cowles Foundation Discussion Papers 1190, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
Full references

Cited by:
(explanations, 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.)

  1. Christian Gourieroux & Joann Jasiak, 1999. "Nonlinear Persistence and Copersistence," Working Papers 2000_1, York University, Department of Economics. [Downloadable!]
    Other versions:
  2. Herwartz, Helmut & Reimers, Hans-Eggert, 2006. "Modelling the Fisher hypothesis: World wide evidence," Economics Working Papers 2006,04, Christian-Albrechts-University of Kiel, Department of Economics. [Downloadable!]
  3. Martin Wagner & Georg Müller-Fürstenberger, 2004. "The Carbon Kuznets Curve: A Cloudy Picture Emitted by Bad Econometrics?," Diskussionsschriften dp0418, Universitaet Bern, Departement Volkswirtschaft. [Downloadable!]
    Other versions:
  4. Breitung, J. & Pesaran, M.H., 2005. "Unit Roots and Cointegration in Panels," Cambridge Working Papers in Economics 0535, Faculty of Economics, University of Cambridge. [Downloadable!]
    Other versions:
  5. Yoosoon Chang, 2000. "Nonlinear IV Unit Root Tests in Panels with Cross-Sectional Dependency," CIRJE F-Series CIRJE-F-85, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
    Other versions:
  6. Park, Joon, 2003. "Nonstationary Nonlinearity: An Outlook for New Opportunities," Working Papers 2003-05, Rice University, Department of Economics. [Downloadable!]
  7. Park, Joon, 2003. "Strong Approximations for Nonlinear Transformations of Integrated Time Series," Working Papers 2003-18, Rice University, Department of Economics. [Downloadable!]
  8. Chang, Yoosoon, 2003. "Nonlinear IV Panel Unit Root Tests," Working Papers 2003-06, Rice University, Department of Economics. [Downloadable!]
  9. Ioannis Kasparis, 2008. "Functional Form Misspecification in Regressions with a Unit Root," University of Cyprus Working Papers in Economics 2-2008, University of Cyprus Department of Economics. [Downloadable!]
  10. Canning, David & Bennathan, Esra, 2000. "The social rate of return on infrastructure investments," Policy Research Working Paper Series 2390, The World Bank. [Downloadable!]
  11. Müller-Fürstenberger, Georg & Wagner, Martin, 2006. "Exploring the Environmental Kuznets Hypothesis. Theoretical and Econometric Problems," Economics Series 183, Institute for Advanced Studies. [Downloadable!]
    Other versions:
  12. Youngsoo Bae & Robert M. de Jong, 2007. "Money demand function estimation by nonlinear cointegration," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(4), pages 767-793. [Downloadable!]
  13. Im, K.S. & Pesaran, M.H., 2003. "On The Panel Unit Root Tests Using Nonlinear Instrumental Variables," Cambridge Working Papers in Economics 0347, Faculty of Economics, University of Cambridge. [Downloadable!]
  14. David Bradford & Rebecca Fender & Stephen Shore & Martin Wagner, 2005. "The Environmental Kuznets Curve: Exploring a Fresh Specification," Contributions to Economic Analysis & Policy, Berkeley Electronic Press, vol. 4(1), pages 1073-1073. [Downloadable!] (restricted)
    Other versions:
  15. Donggyu Sul, 2005. "New Panel Unit Root Tests under Cross Section Dependence for Practitioners," Econometrics 0506010, EconWPA. [Downloadable!]
  16. Reed, A.J. & Levedahl, J.W. & Hallahan, C., 2004. "The Generalized Composite Commodity Theorem And Food Demand Estimation," 2004 Annual meeting, August 1-4, Denver, CO 20107, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association). [Downloadable!]
  17. Seung Hyun Hong & Peter C. B. Phillips, 2005. "Testing Linearity in Cointegrating Relations with an Application to Purchasing Power Parity," Cowles Foundation Discussion Papers 1541, Cowles Foundation, Yale University. [Downloadable!]
  18. David A. Peel & Michael J. Peel & Ioannis A. Venetis, 2004. "Further empirical analysis of the time series properties of financial ratios based on a panel data approach," Applied Financial Economics, Taylor and Francis Journals, vol. 14(3), pages 155-163, February. [Downloadable!] (restricted)
  19. Yoosoon Chang & Wonho Song, 2002. "Panel Unit Root Tests in the Presence of Cross-Sectional Dependency and Heterogeneity," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 B5-2, International Conferences on Panel Data. [Downloadable!]
  20. Chang, Yoosoon, 2002. "Nonlinear IV Unit Root Tests in Panels with Cross-Sectional Dependency," Working Papers 2000-08, Rice University, Department of Economics. [Downloadable!]
  21. J. Isaac Miller, 2007. "Cointegrating Regressions with Messy Regressors: Missingness, Mixed Frequency, and Measurement Error," Working Papers 0722, Department of Economics, University of Missouri, revised 15 Apr 2009. [Downloadable!]
Statistics
Access and download statistics

Did you know? Over 80% of the top 1000 economists are registered on RePEc.

This page was last updated on 2009-11-8.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.