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A Quasi Maximum Likelihood Approach for Large Approximate Dynamic Factor Models

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Author Info
Doz, Catherine
Giannone, Domenico
Reichlin, Lucrezia

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Abstract

This paper considers quasi-maximum likelihood estimations of a dynamic approximate factor model when the panel of time series is large. Maximum likelihood is analyzed under different sources of misspecification: omitted serial correlation of the observations and cross-sectional correlation of the idiosyncratic components. It is shown that the effects of misspecification on the estimation of the common factors is negligible for large sample size (T) and the cross-sectional dimension (n). The estimator is feasible when n is large and easily implementable using the Kalman smoother and the EM algorithm as in traditional factor analysis. Simulation results illustrate what are the empirical conditions in which we can expect improvement with respect to simple principle components considered by Bai (2003), Bai and Ng (2002), Forni, Hallin, Lippi, and Reichlin (2000, 2005b), Stock and Watson (2002a,b).

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 5724.

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Date of creation: Jun 2006
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Handle: RePEc:cpr:ceprdp:5724

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Related research
Keywords: factor model; large cross-sections; Quasi Maximum Likelihood;

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Find related papers by JEL classification:
C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions
C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data
C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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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.:
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    Other versions:
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  23. Sentana, E. & Shah, M., 1994. "An Index of Co-Movements in Financial Time Series," Papers 9415, Centro de Estudios Monetarios Y Financieros-.
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    Other versions:
  25. Jushan Bai & Serena Ng, 2002. "Determining the Number of Factors in Approximate Factor Models," Econometrica, Econometric Society, vol. 70(1), pages 191-221, January. [Downloadable!] (restricted)
    Other versions:
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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. Lucia Alessi & Matteo Barigozzi & Marco Capasso, 2008. "A review of nonfundamentalness and identification in structural VAR models," Working Paper Series 922, European Central Bank. [Downloadable!]
    Other versions:
  2. Domenico Giannone & Lucrezia Reichlin & David Small, 2005. "Nowcasting GDP and inflation: the real-time informational content of macroeconomic data releases," Finance and Economics Discussion Series 2005-42, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
    Other versions:
  3. Matteo Ciccarelli & Benoît Mojon, 2005. "Global Inflation," Working Papers Central Bank of Chile 357, Central Bank of Chile. [Downloadable!]
    Other versions:
  4. Hwee Kwan Chow & Keen Meng Choy, 2008. "Forecasting Business Cycles in a Small Open Economy: A Dynamic Factor Model for Singapore," Economic Growth centre Working Paper Series 0802, Nanyang Technolgical University, School of Humanities and Social Sciences, Economic Growth centre. [Downloadable!]
  5. Massimiliano Marcellino & Christian Schumacher, 2008. "Factor-MIDAS for Now- and Forecasting with Ragged-Edge Data: A Model Comparison for German GDP1," Working Papers 333, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University. [Downloadable!]
    Other versions:
  6. Marco Del Negro & Christopher Otrok, 2008. "Dynamic factor models with time-varying parameters: measuring changes in international business cycles," Staff Reports 326, Federal Reserve Bank of New York. [Downloadable!]
  7. Jean Boivin & Marc P. Giannoni & Benoît Mojon, 2008. "How Has the Euro Changed the Monetary Transmission?," NBER Working Papers 14190, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  8. Catherine Doz & Domenico Giannone & Lucrezia Reichlin, 2006. "A Two-step estimator for large approximate dynamic factor models based on Kalman filtering," THEMA Working Papers 2006-23, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise. [Downloadable!]
    Other versions:
  9. Marta Banbura & Gerhard Rünstler, 2007. "A look into the factor model black box - publication lags and the role of hard and soft data in forecasting GDP," Working Paper Series 751, European Central Bank. [Downloadable!]
  10. Borus Jungbacker & Siem Jan Koopman, 2008. "Likelihood-based Analysis for Dynamic Factor Models," Tinbergen Institute Discussion Papers 08-007/4, Tinbergen Institute. [Downloadable!]
  11. Gregor Bäurle, 2008. "Priors from DSGE Models for Dynamic Factor Analysis," Diskussionsschriften dp0803, Universitaet Bern, Departement Volkswirtschaft. [Downloadable!]
  12. David F. Hendry & Kirstin Hubrich, 2006. "Forecasting economic aggregates by disaggregates," Working Paper Series 589, European Central Bank. [Downloadable!]
    Other versions:
  13. Lasse Bork & Hans Dewachter & Romain Houssa, 2009. "Identification of Macroeconomic Factors in Large Panels," CREATES Research Papers 2009-43, School of Economics and Management, University of Aarhus. [Downloadable!]
  14. D'Agostino, A & Surico, P, 2007. "Does global liquidity help to forecast US inflation?," MPRA Paper 6283, University Library of Munich, Germany. [Downloadable!]
    Other versions:
  15. Lucia Alessi & Matteo Barigozzi & Marco Capasso, 2006. "Dynamic Factor GARCH: Multivariate Volatility Forecast for a Large Number of Series," LEM Papers Series 2006/25, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy. [Downloadable!]
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