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Testing Axial Symmetry by Means of Directional Quantile Regression Coefficients

In: Recent Advances in Econometrics and Statistics

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  • Miroslav Šiman

    (Institute of Information Theory and Automation, The Czech Academy of Sciences)

Abstract

Testing axial symmetry given the axial direction has recently attracted considerable attention not only because of its direct practical applications but also because of its wide implications for testing exchangeability, independence, goodness-of-fit, or equality of scale. The contribution extends the family of recently developed tests of axial symmetry with new members that are based on coefficient estimates in directional quantile regression. The proposed testing tools are especially suitable for the situations not covered well by available competitors, i.e., in the linear regression context or when regression rank scores are not available. The performance of the new tests in such settings is illustrated with a few representative simulation experiments.

Suggested Citation

  • Miroslav Šiman, 2024. "Testing Axial Symmetry by Means of Directional Quantile Regression Coefficients," Springer Books, in: Matteo Barigozzi & Siegfried Hörmann & Davy Paindaveine (ed.), Recent Advances in Econometrics and Statistics, pages 241-259, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-61853-6_13
    DOI: 10.1007/978-3-031-61853-6_13
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