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A Correction Function Approach to Solve the Incidental Parameter Problem


  • Li, GuangJie

    () (Cardiff Business School)

  • Leon-Gonzalez, Roberto


Following Lancaster (2002), we propose a strategy to solve the incidental parameter problem. The method is demonstrated under a simple panel Poisson count model. We also extend the strategy to accomodate cases when information orthogonality is unavailable, such as the linear AR(p) panel model. For the AR(p) model, there exists a correction function to fix the incidental parameter problem when the model is stationary with strictly exogenous regressors. MCMC algorithms are developed for parameter estimation and model comparison. The results based on the simulated data sets suggest that our method could achieve consistency in both parameter estimation and model selection.

Suggested Citation

  • Li, GuangJie & Leon-Gonzalez, Roberto, 2009. "A Correction Function Approach to Solve the Incidental Parameter Problem," Cardiff Economics Working Papers E2009/6, Cardiff University, Cardiff Business School, Economics Section.
  • Handle: RePEc:cdf:wpaper:2009/6

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    References listed on IDEAS

    1. Hannan, Timothy H., 1991. "Bank commercial loan markets and the role of market structure: evidence from surveys of commercial lending," Journal of Banking & Finance, Elsevier, vol. 15(1), pages 133-149, February.
    2. Berger, Allen N, 1995. "The Relationship between Capital and Earnings in Banking," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(2), pages 432-456, May.
    3. Demsetz, Harold, 1973. "Industry Structure, Market Rivalry, and Public Policy," Journal of Law and Economics, University of Chicago Press, vol. 16(1), pages 1-9, April.
    4. Goldberg, Lawrence G. & Rai, Anoop, 1996. "The structure-performance relationship for European banking," Journal of Banking & Finance, Elsevier, vol. 20(4), pages 745-771, May.
    5. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    6. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    7. Douglas D. Evanoff & Diana L. Fortier, 1987. "Reevaluation of the structure-conduct-performance paradigm in banking," Staff Memoranda 87-9, Federal Reserve Bank of Chicago.
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    More about this item


    dynamic panel data model with fixed effect; incidental parameter problem; consistency in estimation; model selection; Bayesian model averaging; Markov chain Monte Carlo (MCMC);

    JEL classification:

    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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