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Maximum likelihood factor analysis with rank-deficient sample covariance matrices

Author

Listed:
  • Robertson, Donald
  • Symons, James

Abstract

This paper characterises completely the circumstances in which maximum likelihood estimation of the factor model is feasible when the sample covariance matrix is rank deficient. This situation will arise when the number of variables exceeds the number of observations.

Suggested Citation

  • Robertson, Donald & Symons, James, 2007. "Maximum likelihood factor analysis with rank-deficient sample covariance matrices," Journal of Multivariate Analysis, Elsevier, vol. 98(4), pages 813-828, April.
    • Handle: RePEc:eee:jmvana:v:98:y:2007:i:4:p:813-828
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    Cited by:

    1. Rudrani Bhattacharya & Bornali Bhandari & Sudipto Mundle, 2023. "Nowcasting India’s Quarterly GDP Growth: A Factor-Augmented Time-Varying Coefficient Regression Model (FA-TVCRM)," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 21(1), pages 213-234, March.
    2. Natalia Bailey & Sean Holly & M. Hashem Pesaran, 2016. "A Two‐Stage Approach to Spatio‐Temporal Analysis with Strong and Weak Cross‐Sectional Dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(1), pages 249-280, January.
    3. Gilhooly, Robert & Weale, Martin & Wieladek, Tomasz, 2015. "Estimation of short dynamic panels in the presence of cross-sectional dependence and dynamic eterogeneity," Discussion Papers 38, Monetary Policy Committee Unit, Bank of England.
    4. Vasilis Sarafidis & Tom Wansbeek, 2012. "Cross-Sectional Dependence in Panel Data Analysis," Econometric Reviews, Taylor & Francis Journals, vol. 31(5), pages 483-531, September.
    5. Pesaran, M. Hashem & Tosetti, Elisa, 2011. "Large panels with common factors and spatial correlation," Journal of Econometrics, Elsevier, vol. 161(2), pages 182-202, April.
    6. Amèvi Rocard Kouwoaye, 2019. "Trade tax reforms and poverty in developing countries: Why do some countries benefit and others lose?," WIDER Working Paper Series wp-2019-66, World Institute for Development Economic Research (UNU-WIDER).
    7. Sundberg, Rolf & Feldmann, Uwe, 2016. "Exploratory factor analysis—Parameter estimation and scores prediction with high-dimensional data," Journal of Multivariate Analysis, Elsevier, vol. 148(C), pages 49-59.
    8. Giovanni Forchini & Bin Peng, 2016. "A Conditional Approach to Panel Data Models with Common Shocks," Econometrics, MDPI, vol. 4(1), pages 1-12, January.

    More about this item

    Keywords

    Factor analysis Maximum likelihood;

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