On hybrid methods of inverse regression-based algorithms

Lixing ZHU*, Megu Ohtaki, Yingxing Li

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)

Abstract

This paper is two-fold. First, we present a further investigation for the hybrid methods of inverse regression-based algorithms. This investigation provides the evidence of how the hybrids gain the advantages to become more powerful methods than the existing methods when the central dimension reduction (CDR) space is estimated. Second, a Bayes Information Criterion (BIC)-type algorithm is recommended to estimate the dimension of the CDR space. Differing from the popularly used sequential test methods, the new algorithm does not require the asymptotic normality of the estimator of the inverse regression-based matrix. The BIC-based estimator is proven to be consistent. A set of simulations for several typical models were carried out to guide the selection of coefficient in the hybrids.

Original languageEnglish
Pages (from-to)2621-2635
Number of pages15
JournalComputational Statistics and Data Analysis
Volume51
Issue number5
DOIs
Publication statusPublished - 1 Feb 2007

Scopus Subject Areas

  • Statistics and Probability
  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Dimension reduction
  • Hybrid methods
  • Sliced average variance estimation
  • Sliced inverse regression

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