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A test of time reversibility based on Lmoments with an application to the business cycles of the G7 economies

Author

Listed:
  • Andrea Bastianin
  • Matteo Manera

Abstract

We study the performance of tests of distributional symmetry based on the coefficient of skewness and on L-moments and present a bootstrap implementation of such tests that is suitable in time series applications. We show with Monte Carlo simulations that both tests are correctly sized - provided that their null distribution is approximated with the bootstrap - and that the procedure based on L-moments has more power than that based on the conventional coefficient of skewness. An empirical application analyses the symmetry of business cycles for the G7 countries implementing tests of symmetry as tools to investigate time reversibility.

Suggested Citation

  • Andrea Bastianin & Matteo Manera, 2020. "A test of time reversibility based on Lmoments with an application to the business cycles of the G7 economies," Working Papers 445, University of Milano-Bicocca, Department of Economics, revised Jun 2020.
    • Handle: RePEc:mib:wpaper:445
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    References listed on IDEAS

    as
    1. Ardian Harri & Keith H. Coble, 2011. "Normality testing: two new tests using L-moments," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(7), pages 1369-1379, May.
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    More about this item

    Keywords

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    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C55 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Large Data Sets: Modeling and Analysis
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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