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A note on the semiparametric approach to dimension reduction

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  • Bin Sun
  • Yuehua Wu
  • Wenzhi Yang
  • Yuejiao Fu

Abstract

In this note, we present a theoretical result which relaxes a critical condition required by the semiparametric approach to dimension reduction. The asymptotic normality of the estimators still maintains under weaker assumptions. This improvement greatly increases the applicability of the semiparametric approach.

Suggested Citation

  • Bin Sun & Yuehua Wu & Wenzhi Yang & Yuejiao Fu, 2020. "A note on the semiparametric approach to dimension reduction," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(9), pages 2295-2304, May.
    • Handle: RePEc:taf:lstaxx:v:49:y:2020:i:9:p:2295-2304
    DOI: 10.1080/03610926.2019.1576887
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