Abstract.
In this paper we propose a consistent test of the linearity of quantile regression models, similar to the Integrated Conditional Moment (ICM) test of Bierens (1982) and Bierens and Ploberger (1997). This test requires re-estimation of the quantile regression model by minimizing the ICM test statistic with respect to the parameters. We apply this ICM test to examine the correctness of the functional form of three median regression wage equations.
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Bierens, H., Ginther, D. Integrated Conditional Moment testing of quantile regression models. Empirical Economics 26, 307–324 (2001). https://doi.org/10.1007/s001810000059
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DOI: https://doi.org/10.1007/s001810000059