Title
Semiparametric double robust and efficient estimation for mean functionals with response missing at random.
Abstract
Under dimension reduction structure, several semiparametric estimators for the mean of missing response are proposed, which can efficiently deal with the dimensionality problem. Specifically, a generalized version of Augmented Inverse Probability Weighting estimator (AIPW) is proposed and its double robustness, estimation consistency and asymptotic efficiency are investigated. A generalized version of Inverse Probability Weighting (IPW) estimator is also introduced. An asymptotic efficiency reduction phenomenon occurs in the sense that the IPW estimator with the true selection probability is asymptotically less efficient than the one with an estimated selection probability. Besides, two partial imputation and two complete imputation estimators are discussed. We further systematically investigate the comparisons among these estimators in theory. Several simulation studies and a real data analysis are conducted for performance examination and illustration.
Year
DOI
Venue
2018
10.1016/j.csda.2018.07.017
Computational Statistics & Data Analysis
Keywords
Field
DocType
Dimension reduction,Double robustness,Inverse probability weighting,Missing at random
Applied mathematics,Inverse probability weighting,Dimensionality reduction,Curse of dimensionality,Robustness (computer science),Imputation (statistics),Missing data,Statistics,Mathematics,Estimator
Journal
Volume
ISSN
Citations 
128
0167-9473
0
PageRank 
References 
Authors
0.34
3
5
Name
Order
Citations
PageRank
Xu Guo165.09
Yun Fang200.34
Xuehu Zhu332.28
Wangli Xu496.40
Lixing Zhu511634.41