The generalised dynamic factor model: identification and estimation
AbstractThis paper proposes a factor model with infinite dynamics and nonorthogonal idiosyncratic components. The model, which we call the generalized dynamic-factor model, is novel to the literature and generalizes the static approximate factor model of Chamberlain and Rothschild (1983), as well as the exact factor model Ã la Sargent and Sims (1977). We provide identification conditions, propose an estimator of the common components, prove convergence as both time and cross-sectional size go to infinity at appropriate rates, and present simulation results. We use our model to construct a coincident index for the European Union. Such index is defined as the common component of real GDP within a model including several macroeconomic variables for each European country. Â© 2000 by the President and Fellows of Harvard College and the Massachusetts Institute of Technology
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Bibliographic InfoPaper provided by ULB -- Universite Libre de Bruxelles in its series ULB Institutional Repository with number 2013/10143.
Date of creation: 01 Nov 2000
Date of revision:
Publication status: Published in: The Review of Economics and Statistics (2000) v.82 n° 4,p.540-554
Other versions of this item:
- Mario Forni & Marc Hallin & Marco Lippi & Lucrezia Reichlin, 2000. "The Generalized Dynamic-Factor Model: Identification And Estimation," The Review of Economics and Statistics, MIT Press, vol. 82(4), pages 540-554, November.
- Forni, Mario & Hallin, Marc & Lippi, Marco & Reichlin, Lucrezia, 1999. "The Generalized Dynamic Factor Model: Identification and Estimation," CEPR Discussion Papers 2338, C.E.P.R. Discussion Papers.
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
- C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
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- Forni, Mario & Reichlin, Lucrezia, 1996.
"Dynamic Common Factors in Large Cross-Sections,"
Springer, vol. 21(1), pages 27-42.
- Forni, Mario & Reichlin, Lucrezia, 1995. "Dynamic Common Factors in Large Cross-Sections," CEPR Discussion Papers 1285, C.E.P.R. Discussion Papers.
- Mario Forni & Lucrezia Reichlin, 1996. "Dynamic common factors in large cross-sections," ULB Institutional Repository 2013/10149, ULB -- Universite Libre de Bruxelles.
- Chamberlain, Gary, 1983. "Funds, Factors, and Diversification in Arbitrage Pricing Models," Econometrica, Econometric Society, vol. 51(5), pages 1305-23, September.
- Forni, Mario & Lippi, Marco, 2000.
"The Generalized Dynamic Factor Model: Representation Theory,"
CEPR Discussion Papers
2509, C.E.P.R. Discussion Papers.
- Forni, Mario & Lippi, Marco, 2001. "The Generalized Dynamic Factor Model: Representation Theory," Econometric Theory, Cambridge University Press, vol. 17(06), pages 1113-1141, December.
- Forni, Mario & Lippi, Marco, 1997. "Aggregation and the Microfoundations of Dynamic Macroeconomics," OUP Catalogue, Oxford University Press, number 9780198288008.
- James H. Stock & Mark W. Watson, 1989.
"New Indexes of Coincident and Leading Economic Indicators,"
in: NBER Macroeconomics Annual 1989, Volume 4, pages 351-409
National Bureau of Economic Research, Inc.
- Stock, J.H. & Watson, M.W., 1989. "New Indexes Of Coincident And Leading Economic Indicators," Papers 178d, Harvard - J.F. Kennedy School of Government.
- Forni, Mario & Reichlin, Lucrezia, 1998.
"Let's Get Real: A Factor Analytical Approach to Disaggregated Business Cycle Dynamics,"
Review of Economic Studies,
Wiley Blackwell, vol. 65(3), pages 453-73, July.
- Mario Forni & Lucrezia Reichlin, 1998. "Let's get real: a factor analytical approach to disaggregated business cycle dynamics," ULB Institutional Repository 2013/10147, ULB -- Universite Libre de Bruxelles.
- Arthur F. Burns & Wesley C. Mitchell, 1946. "Measuring Business Cycles," NBER Books, National Bureau of Economic Research, Inc, number burn46-1.
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