Quantile regression of partially linear single-index model with missing observations

Quantile regression of partially linear single-index model with missing observations
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缺失观测值的部分线性单指标模型的分位数回归

DOI:
10.1080/02331888.2021.1883613
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发表时间:
2021-01
期刊:
影响因子:
1.9
通讯作者:
Shen Yu
Shen Yu
中科院分区:
数学4区
文献类型:
--
作者:
Liang Han-Ying;Wang Bao-Hua;Shen Yu

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在本文中,我们讨论了数据随机缺失时部分线性单指标模型的分位数回归和变量选择,这允许响应和协变量同时缺失。通过使用迭代算法和局部线性方法,我们构造了参数和链接函数的逆概率加权分位数估计器。参数的惩罚估计器也基于自适应 LASSO 惩罚来考虑。推导了所提出的估计量的渐近分布和预言性质。仿真研究和实际数据分析显示了所提出方法的性能。
In this paper, we discuss the quantile regression and variable selection of partially linear single-index model when data are missing at random, which allows the response and covariates missing simultaneously. By using iteration algorithm and local linear method, we construct the inverse probability weighted quantile estimators of both the parameters and the link function. The penalized estimator of the parameters is also considered based on the adaptive LASSO penalty. The asymptotic distributions and the oracle property of the proposed estimators are derived. Simulation study and real data analysis are presented to show the performance of the proposed methods.
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