A review on the generalization of sufficient dimension reduction methods with the additional information

Hung Hung, Henry Horng Shing Lu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Sufficient dimension reduction (SDR) has been shown to be a powerful statistical method that is able to reduce the dimension of covariates without losing information with respect to the response. Subsequent analysis can then be based on a lower dimensional transformations of covariates, which has the potential to assist model building and to increase the estimation efficiency. In some situations, the additional information could be also available during the data collection process. Although one can proceed with the conventional method, properly utilizing the additional information can greatly improve making statistical inference. It is thus of interest to incorporate the additional information into the practice of SDR methods. In this article, we review the generalizations of SDR methods that are able to utilize different types of the additional information. One will see that, depending on the sources of the additional information, different techniques are required to modify conventional SDR methods to improve estimating the target of interest. WIREs Comput Stat 2017, 9:e1401. doi: 10.1002/wics.1401. For further resources related to this article, please visit the WIREs website.

Original languageEnglish
Article numbere1401
JournalWiley Interdisciplinary Reviews: Computational Statistics
Volume9
Issue number4
DOIs
StatePublished - 1 Jul 2017

Keywords

  • additional information
  • constraint
  • efficiency
  • sliced inverse regression
  • sufficient dimension reduction

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