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Maximum-likelihood based inference in the two-way random effects model with serially correlated time effects


  • Karlsson, Sune

    () (Dept. of Economic Statistics, Stockholm School of Economics)

  • Skoglund, Jimmy

    () (Dept. of Economic Statistics, Stockholm School of Economics)


This paper considers maximum likelihood estimation and inference in the two-way random effects model with serial correlation. We derive a straightforward maximum likelihood estimator when the time-specific component follow an AR(1) or MA(1) process. The estimator is easily generalized to arbitrary stationary and strictly invertible ARMA processes. In addition we consider the model selection problem and derive tests of the null hypothesis of no serial correlation as well as tests for discriminating between the AR(1) and MA(1) specifications. A Monte-Carlo experiment evaluates the finite-sample properties of the estimators, test-statistics and model selection procedures.

Suggested Citation

  • Karlsson, Sune & Skoglund, Jimmy, 2000. "Maximum-likelihood based inference in the two-way random effects model with serially correlated time effects," SSE/EFI Working Paper Series in Economics and Finance 383, Stockholm School of Economics.
  • Handle: RePEc:hhs:hastef:0383

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    References listed on IDEAS

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    Cited by:

    1. Giorgio Calzolari & Laura Magazzini, 2012. "Autocorrelation and masked heterogeneity in panel data models estimated by maximum likelihood," Empirical Economics, Springer, vol. 43(1), pages 145-152, August.
    2. Pardo Martínez, Clara Inés, 2013. "An analysis of eco-efficiency in energy use and CO2 emissions in the Swedish service industries," Socio-Economic Planning Sciences, Elsevier, vol. 47(2), pages 120-130.
    3. Pardo Martínez, Clara Inés & Silveira, Semida, 2012. "Analysis of energy use and CO2 emission in service industries: Evidence from Sweden," Renewable and Sustainable Energy Reviews, Elsevier, vol. 16(7), pages 5285-5294.
    4. Marcel die Dama & Boniface ngah Epo & Galex syrie Soh, 2013. "Developing a two way error component estimation model with disturbances following a special autoregressive (4) for quarterly data," Economics Bulletin, AccessEcon, vol. 33(1), pages 625-634.
    5. Badi H. Baltagi, 2008. "Forecasting with panel data," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 27(2), pages 153-173.
    6. Paolo, Foschi, 2005. "Estimating regressions and seemingly unrelated regressions with error component disturbances," MPRA Paper 1424, University Library of Munich, Germany, revised 07 Sep 2006.
    7. Robert F. Phillips, 2012. "On computing generalized least squares and maximum-likelihood estimates of error-components models with incomplete panels and correlated disturbances," Economics Bulletin, AccessEcon, vol. 32(4), pages 3017-3024.
    8. Jimmy Skoglund & Sune Karlsson, 2002. "Asymptotics for random effects models with serial correlation," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 A6-1, International Conferences on Panel Data.

    More about this item


    Panel data; autocorrelation; time specific effect; variance components;

    JEL classification:

    • 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
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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