Bootstrap Partial Linear Quantile Regression and Confidence Bands

来源 :2009 International Conference on Financial Statistics and Fi | 被引量 : 0次 | 上传用户:mengjie86
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  In this paper uniform confidence bands are constructed for non-parametric quantile estimates of regression functions.The method is based on the bootstrap,where resampling is done from a suitably estimated empirical density function (edf) for residuals.It is known that the approximation error for the uniform confidence band by the asymptotic Gumbel distribution is logarithmically slow.It is proved that the bootstrap approximation provides a substantial improvement.The case of multidimensional and discrete regressor variables is dealt with using a partial linear model.Comparison to the classic asymptotic uniform bands is presented through a simulation study.An economic application considers the labour market discrimination effect.w.r.t.different education levels.
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