Smoothed empirical likelihood for quantile regression models with response data missing at random
Shuanghua Luo (),
Changlin Mei and
Cheng-yi Zhang
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Shuanghua Luo: Xi’an Jiaotong University
Changlin Mei: Xi’an Jiaotong University
Cheng-yi Zhang: Xi’an Polytechnic University
AStA Advances in Statistical Analysis, 2017, vol. 101, issue 1, No 5, 95-116
Abstract:
Abstract This paper studies smoothed quantile linear regression models with response data missing at random. Three smoothed quantile empirical likelihood ratios are proposed first and shown to be asymptotically Chi-squared. Then, the confidence intervals for the regression coefficients are constructed without the estimation of the asymptotic covariance. Furthermore, a class of estimators for the regression parameter is presented to derive its asymptotic distribution. Simulation studies are conducted to assess the finite sample performance. Finally, a real-world data set is analyzed to illustrated the effectiveness of the proposed methods.
Keywords: Quantile regression; Smoothed empirical likelihood; Missing at random; Confidence interval; 62G05; 62G20; 60G42 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:alstar:v:101:y:2017:i:1:d:10.1007_s10182-016-0278-8
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DOI: 10.1007/s10182-016-0278-8
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