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Likelihood-Based Inference in Multivariate Panel Cointegration Models

Author

Listed:
  • Rolf Larsson

    (Stockholm University)

  • Johan Lyhagen

    (Stockholm School of Economics)

Abstract

This paper presents a general likelihood-based framework for inference in panel-VAR models with cointegrating restrictions. The cointegrating relations are restricted to each cross-section while the rest of the model is unrestricted. The homogenous restriction of common cointegrating space is also considered. Asymptotic distributions of parameter estimates and the test statistics for the cointegrating rank and the homogenous restriction are derived. The distribution for the cointegrating rank is shown to be the convolution of the standard distribution of the trace statistic and the chi$^2$ distribution. The homogenous restriction test statistic is chi$^2$. A Monte Carlo simulation investigates the small sample properties of the two tests. The empirical size of the test for the cointegrating rank is well above the nominal. A Bartlett corrected test statistic is shown to have size very close to the nominal. We give an empirical example for a consumption model including consumption, income and inflation.

Suggested Citation

  • Rolf Larsson & Johan Lyhagen, 2000. "Likelihood-Based Inference in Multivariate Panel Cointegration Models," Econometric Society World Congress 2000 Contributed Papers 1313, Econometric Society.
  • Handle: RePEc:ecm:wc2000:1313
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    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
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis

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