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! ]

Estimation Of Autoregressive Roots Near Unity Using Panel Data

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
Moon, Hyungsik R.
Phillips, Peter C.B.

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

Abstract

Time series data are often well modeled by using the device of an autoregressive root that is local to unity. Unfortunately, the localizing parameter (c) is not consistently estimable using existing time series econometric techniques and the lack of a consistent estimator complicates inference. This paper develops procedures for the estimation of a common localizing parameter using panel data. Pooling information across individuals in a panel aids the identification and estimation of the localizing parameter and leads to consistent estimation in simple panel models. However, in the important case of models with concomitant deterministic trends, it is shown that pooled panel estimators of the localizing parameter are asymptotically biased. Some techniques are developed to overcome this difficulty, and consistent estimators of c in the region c 0 are developed for panel models with deterministic and stochastic trends. A limit distribution theory is also established, and test statistics are constructed for exploring interesting hypotheses, such as the equivalence of local to unity parameters across subgroups of the population. The methods are applied to the empirically important problem of the efficient extraction of deterministic trends. They are also shown to deliver consistent estimates of distancing parameters in nonstationary panel models where the initial conditions are in the distant past. In the development of the asymptotic theory this paper makes use of both sequential and joint limit approaches. An important limitation in the operation of the joint asymptotics that is sometimes needed in our development is the rate condition n/T 0. So the results in the paper are likely to be most relevant in panels where T is large and n is moderately large.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. In case of further problems read the IDEAS help file. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://journals.cambridge.org/abstract_S026646660016606X
File Format: text/html
File Function: link to article abstract page
Download Restriction: no

Publisher Info
Article provided by Cambridge University Press in its journal Econometric Theory.

Volume (Year): 16 (2000)
Issue (Month): 06 (December)
Pages: 927-997
Download reference. The following formats are available: HTML, plain text, BibTeX, RIS (EndNote), ReDIF
Handle: RePEc:cup:etheor:v:16:y:2000:i:06:p:927-997

Contact details of provider:
Postal: The Edinburgh Building, Shaftesbury Road, Cambridge CB2 2RU UK
Fax: +44 (0)1223 325150
Email:

For technical questions regarding this item, or to correct its listing, contact: (Mike Eden).

Related research
Keywords:

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. Peter C.B. Phillips & Victor Solo, 1989. "Asymptotics for Linear Processes," Cowles Foundation Discussion Papers 932, Cowles Foundation, Yale University. [Downloadable!]
  2. Stock, James H., 1991. "Confidence intervals for the largest autoregressive root in U.S. macroeconomic time series," Journal of Monetary Economics, Elsevier, vol. 28(3), pages 435-459, December. [Downloadable!] (restricted)
    Other versions:
  3. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March. [Downloadable!] (restricted)
    Other versions:
  4. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-58, May. [Downloadable!] (restricted)
    Other versions:
  5. Peter C.B. Phillips & Hyungsik R. Moon, 1999. "Nonstationary Panel Data Analysis: An Overview of Some Recent Developments," Cowles Foundation Discussion Papers 1221, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  6. Xiao, Zhijie & Phillips, Peter C.B., 1999. "Efficient Detrending In Cointegrating Regression," Econometric Theory, Cambridge University Press, vol. 15(04), pages 519-548, August. [Downloadable!]
  7. Peter C.B. Phillips & Hyungsik R. Moon & Zhijie Xiao, 1998. "How to Estimate Autoregressive Roots Near Unity," Cowles Foundation Discussion Papers 1191, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  8. Hyungsik Moon & Peter Phillips, 1999. "Estimation of Autoregressive Roots near Unity using Panel Data," University of California at Santa Barbara, Economics Working Paper Series wp1-99, Department of Economics, UC Santa Barbara. [Downloadable!]
    Other versions:
  9. Peter C.B. Phillips & Hyungsik R. Moon, 1999. "Linear Regression Limit Theory for Nonstationary Panel Data," Cowles Foundation Discussion Papers 1222, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  10. Eugene Canjels & Mark W. Watson, 1997. "Estimating Deterministic Trends In The Presence Of Serially Correlated Errors," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 184-200, May. [Downloadable!] (restricted)
  11. repec:fth:calaec:17-98r is not listed on IDEAS
  12. Christopher L. Cavanagh & Graham Elliott & James Stock, 1995. "Inference in Models with Nearly Integrated Regressors," University of California at San Diego, Economics Working Paper Series 95-29, Department of Economics, UC San Diego.
  13. Peter C.B. Phillips & Chin Chin Lee, 1996. "Efficiency Gains from Quasi-Differencing Under Nonstationarity," Cowles Foundation Discussion Papers 1134, Cowles Foundation, Yale University. [Downloadable!]
  14. Graham Elliott & Thomas J. Rothenberg & James H. Stock, 1992. "Efficient Tests for an Autoregressive Unit Root," NBER Technical Working Papers 0130, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  15. repec:cup:etheor:v:11:y:1995:i:5:p:1131-47 is not listed on IDEAS
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. Erik Hjalmarsson, 2006. "Predictive regressions with panel data," International Finance Discussion Papers 869, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  2. Erik Hjalmarsson, 2007. "The Stambaugh bias in panel predictive regressions," International Finance Discussion Papers 914, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  3. Peter C.B. Phillips & Hyungsik R. Moon & Zhijie Xiao, 1998. "How to Estimate Autoregressive Roots Near Unity," Cowles Foundation Discussion Papers 1191, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  4. Jushan Bai & Chihwa Kao & Serena Ng, 2007. "Panel Cointegration with Global Stochastic Trends," Center for Policy Research Working Papers 90, Center for Policy Research, Maxwell School, Syracuse University. [Downloadable!]
  5. Hyungsik Roger Moon, 2000. "GMM Estimation of Autoregressive Roots Near Unity with Panel Data," Econometric Society World Congress 2000 Contributed Papers 0913, Econometric Society. [Downloadable!]
    Other versions:
  6. Hyungsik R. Moon & Peter C.B. Phillips, 1999. "Estimation of Autoregressive Roots Near Unity Using Panel Data," Cowles Foundation Discussion Papers 1224, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  7. Peter C.B. Phillips & Donggyu Sul, 2003. "Bias in Dynamic Panel Estimation with Fixed Effects, Incidental Trends and Cross Section Dependence," Cowles Foundation Discussion Papers 1438, Cowles Foundation, Yale University, revised Jun 2004. [Downloadable!]
    Other versions:
  8. Chihwa Kao & Long Liu, 2007. "Consistent Estimation with Weak Instruments in Panel Data," Center for Policy Research Working Papers 95, Center for Policy Research, Maxwell School, Syracuse University. [Downloadable!]
  9. Peter C.B. Phillips & Hyungsik R. Moon, 1999. "Nonstationary Panel Data Analysis: An Overview of Some Recent Developments," Cowles Foundation Discussion Papers 1221, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  10. Moon, H.R. & Perron, B., 2002. "Testing for a Unit Root in Panels with Dynamic Factors," Cahiers de recherche 18-2002, Centre interuniversitaire de recherche en économie quantitative, CIREQ. [Downloadable!]
    Other versions:
  11. Hjalmarsson, Erik, 2005. "Predictive regressions with panel data," Working Papers in Economics 160, Göteborg University, Department of Economics. [Downloadable!]
  12. Ai Deng, 2005. "Understanding Spurious Regression in Financial Economics," Boston University - Department of Economics - Working Papers Series WP2005-048, Boston University - Department of Economics. [Downloadable!]
  13. Hyungsik R. Moon & Peter C.B. Phillips, 1999. "Maximum Likelihood Estimation in Panels with Incidental Trends," Cowles Foundation Discussion Papers 1246, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  14. J. Breitung, . "The Local Power of Some Unit Root Tests for Panel Data," Sonderforschungsbereich 373 1999-69, Humboldt Universitaet Berlin.
  15. Erik Hjalmarsson, 2005. "Estimation of average local-to-unity roots in heterogenous panels," International Finance Discussion Papers 852, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
Statistics
Access and download statistics

Did you know? You can use IDEAS to provide links to papers and articles in your course syllabus.

This page was last updated on 2008-8-5.

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.