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A Nonlinear Panel Unit Root Test under Cross Section Dependence

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  • Cerrato, Mario
  • de Peretti, Christian
  • Larsson, Rolf
  • Sarantis, Nicholas

Abstract

We propose a nonlinear heterogeneous panel unit root test for testing the null hypothesis of unit-roots processes against the alternative that allows a proportion of units to be generated by globally stationary ESTAR processes and a remaining non-zero proportion to be generated by unit root processes. The proposed test is simple to implement and accommodates cross sectional dependence. We show that the distribution of the test statistic is free of nuisance parameters as (N, T) −! 1. Monte Carlo simulation shows that our test holds correct size and under the hypothesis that data are generated by globally stationary ESTAR processes has a better power than the recent test proposed in Pesaran [2007]. Various applications are provided.

Suggested Citation

  • Cerrato, Mario & de Peretti, Christian & Larsson, Rolf & Sarantis, Nicholas, 2011. "A Nonlinear Panel Unit Root Test under Cross Section Dependence," SIRE Discussion Papers 2011-30, Scottish Institute for Research in Economics (SIRE).
  • Handle: RePEc:edn:sirdps:271
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    More about this item

    Keywords

    Nonlinear panel unit root tests; cross sectional dependence;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: 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
    • F31 - International Economics - - International Finance - - - Foreign Exchange

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