Efficient dimension reduction for multivariate response data

Yaowu Zhang, Liping Zhu, Yanyuan Ma

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We propose a semiparametric approach to reduce the covariate dimension for multivariate response data. The method bypasses the conventional inverse regression procedure hence seamlessly avoids the potential difficulties related to the dimension of the response. In addition, coupled with a proper parameterization, the approach allows for statistical inference of the dimension reduction subspace for a wide range of models. The resultant estimator is shown to be root-n consistent, asymptotically normal and semiparametrically efficient. The efficiency gain of the semiparametric approach is significant in both simulations and an application to a primary hypertension study conducted in PR China.

Original languageEnglish (US)
Pages (from-to)187-199
Number of pages13
JournalJournal of Multivariate Analysis
StatePublished - Mar 1 2017

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Numerical Analysis
  • Statistics, Probability and Uncertainty


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