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引用本文:���ҹ�,����. ��λ���ع�Ĺ⻬������Ȼ[J]. 应用概率统计, 2017, 33(5): 497-507. DOI: 10.3969/j.issn.1001-4268.2017.05.006
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Smoothed Empirical Likelihood Inference for Quantile Regression
LI ZhongGui,HE ShuYuan. Smoothed Empirical Likelihood Inference for Quantile Regression[J]. Chinese Journal of Applied Probability and Statisties, 2017, 33(5): 497-507. DOI: 10.3969/j.issn.1001-4268.2017.05.006
Authors:LI ZhongGui  HE ShuYuan
Affiliation:chool of Mathematical Sciences, Capital NormalUniversity;
Abstract:For linear quantile regression model, this paper proves that the test statistics, besed on smoothed empirical likelihood (SEL) method and least absolute deviation (LAD) method, both converge weakly to a noncentral Chi-square distribution under the local alternatives $H_1:beta=beta_0+a_n$, where $beta$ is the true parameter. Simulation results show that the SEL method is more efficient than the LAD method.
Keywords:quantile regression  ,smoothed empirical likelihood,noncentral Chi-square distribution,
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