An Adjusted profile likelihood for non-stationary panel data models with fixel effects
AbstractWe calculate the bias of the profile score for the autoregressive parameters p and covariate slopes in the linear model for N x T panel data with p lags of the dependent variable, exogenous covariates, fixed effects, and unrestricted initial observations. The bias is a vector of multivariate polynomials in p with coefficients that depend only on T. We center the profile score and, on integration, obtain an adjusted profile likelihood. When p = 1, the adjusted profile likelihood coincides with Lancaster's (2002) marginal posterior. More generally, it is an integrated likelihood, in the sense of Arellano and Bonhomme (2009), with fixed effects integrated out using a new data-independent prior. It appears that p and B are identified as the unique point where the large N adjusted profile likelihood reaches a local maximum (or a at inection point, as a limiting case) inside or on an ellipsoid centered at the maximum likelihood estimator. We prove this when p = 1 and report numerical calculations that support it when p > 1. The global maximum of the adjusted profile likelihood lies at infinity for any N.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Sciences Po in its series Sciences Po publications with number info:hdl:2441/eu4vqp9ompqllr09ij4oge90i.
Date of creation: 22 Mar 2011
Date of revision:
adjusted likelihood; bias correction; dynamic panel data; fixed effects; non-stationarity.;
Find related papers by JEL classification:
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull Diffusion Processes
- C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
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.:
- Lancaster, Tony, 2002. "Orthogonal Parameters and Panel Data," Review of Economic Studies, Wiley Blackwell, vol. 69(3), pages 647-66, July.
- Tony Lancaster, 2002. "Orthogonal Parameters and Panel Data," Review of Economic Studies, Oxford University Press, vol. 69(3), pages 647-666.
- Manuel Arellano & Stephane Bonhomme, 2006.
"Robust Priors In Nonlinear Panel Data Models,"
- Nerlove, Marc, 1971.
"Further Evidence on the Estimation of Dynamic Economic Relations from a Time Series of Cross Sections,"
Econometric Society, vol. 39(2), pages 359-82, March.
- Marc Nerlove, 1968. "Further Evidence on the Estimation of Dynamic Economic Relations from a Time Series of Cross-Sections," Cowles Foundation Discussion Papers 257, Cowles Foundation for Research in Economics, Yale University.
- Kiviet, Jan F., 1995.
"On bias, inconsistency, and efficiency of various estimators in dynamic panel data models,"
Journal of Econometrics,
Elsevier, vol. 68(1), pages 53-78, July.
- Tom Doan, . "LSDVC: RATS procedure to estimate a dynamic FE model with correction for bias," Statistical Software Components RTS00111, Boston College Department of Economics.
- Kruiniger, Hugo, 2008. "Maximum likelihood estimation and inference methods for the covariance stationary panel AR(1)/unit root model," Journal of Econometrics, Elsevier, vol. 144(2), pages 447-464, June.
- Peter C.B. Phillips & Donggyu Sul, 2004.
"Bias in Dynamic Panel Estimation with Fixed Effects, Incidental Trends and Cross Section Dependence,"
Yale School of Management Working Papers
ysm428, Yale School of Management.
- Phillips, Peter C.B. & Sul, Donggyu, 2007. "Bias in dynamic panel estimation with fixed effects, incidental trends and cross section dependence," Journal of Econometrics, Elsevier, vol. 137(1), pages 162-188, March.
- 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 for Research in Economics, Yale University, revised Jun 2004.
- Bun, Maurice J.G. & Carree, Martin A., 2005.
"Bias-Corrected Estimation in Dynamic Panel Data Models,"
Journal of Business & Economic Statistics,
American Statistical Association, vol. 23, pages 200-210, April.
- Bun,M.J.G. & Carree,M.A., 2002. "Bias-corrected estimation in dynamic panel data models," Research Memorandum 025, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Sargan, J D, 1983. "Identification and Lack of Identification," Econometrica, Econometric Society, vol. 51(6), pages 1605-33, November.
- Ahn, Seung C. & Schmidt, Peter, 1995. "Efficient estimation of models for dynamic panel data," Journal of Econometrics, Elsevier, vol. 68(1), pages 5-27, July.
- Javier Alvarez & Manuel Arellano, 2004. "Robust Likelihood Estimation Of Dynamic Panel Data Models," Working Papers wp2004_0421, CEMFI.
- Gary Chamberlain & Marcelo J. Moreira, 2009. "Decision Theory Applied to a Linear Panel Data Model," Econometrica, Econometric Society, vol. 77(1), pages 107-133, 01.
- Nickell, Stephen J, 1981. "Biases in Dynamic Models with Fixed Effects," Econometrica, Econometric Society, vol. 49(6), pages 1417-26, November.
- Magnac, Thierry & Pistolesi, Nicolas & Roux, Sébastien, 2013.
"Post Schooling Human Capital Investments and the Life Cycle Variance of Earnings,"
IZA Discussion Papers
7407, Institute for the Study of Labor (IZA).
- Magnac, Thierry & Pistolesi, Nicolas & Roux, Sébastien, 2013. "Post schooling human capital investments and the life cycle variance of earnings," TSE Working Papers 13-380, Toulouse School of Economics (TSE).
- Magnac, Thierry & Pistolesi, Nicolas & Roux, Sébastien, 2013. "Post schooling human capital investments and the life cycle variance of earnings," IDEI Working Papers 765, Institut d'Économie Industrielle (IDEI), Toulouse.
- Thierry Magnac & Sebastien Roux & Nicolas Pistolesi, 2013. "Post schooling human capital investments and the life cycle variance of earnings," 2013 Meeting Papers 426, Society for Economic Dynamics.
- Maurice J.G. Bun & Sarafidis, V., 2013. "Dynamic Panel Data Models," UvA-Econometrics Working Papers 13-01, Universiteit van Amsterdam, Dept. of Econometrics.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Spire @ Sciences Po Library).
If references are entirely missing, you can add them using this form.