Title
A note on sliced inverse regression with missing predictors
Abstract
Sufficient dimension reduction (SDR) is effective in high-dimensional data analysis as it mitigates the curse of dimensionality while retaining full regression information. Missing predictors are common in high-dimensional data, yet are only discussed occasionally in the SDR context. In this paper, an inverse probability weighted sliced inverse regression (SIR) is studied with predictors missing at random. We cast SIR into the estimating equation framework to avoid inverting a large scale covariance matrix. This strategy is more efficient in handling large dimensionality and strong collinearity among the predictors than the spectral decomposition of classical SIR. Numerical studies confirm the supremacy of our proposed procedure over existing methods. © 2011 Wiley Periodicals, Inc. Statistical Analysis and Data Mining, 2011 © 2012 Wiley Periodicals, Inc.
Year
DOI
Venue
2012
10.1002/sam.10132
Statistical Analysis and Data Mining
Keywords
Field
DocType
inc. statistical analysis,missing predictor,sliced inverse regression,large dimensionality,high-dimensional data,sdr context,inverse regression,wiley periodicals,classical sir,inverse probability,high-dimensional data analysis,full regression information,missing at random,estimating equations
Collinearity,Sliced inverse regression,Computer science,Curse of dimensionality,Missing data,Covariance matrix,Inverse probability,Statistics,Sufficient dimension reduction,Estimating equations
Journal
Volume
Issue
Citations 
5
2
1
PageRank 
References 
Authors
0.43
1
2
Name
Order
Citations
PageRank
Yuexiao Dong134.67
Li-Ping Zhu2227.66