Journal
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
Volume 49, Issue 9, Pages 2295-2304Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03610926.2019.1576887
Keywords
Dimension reduction; semiparametric methods; estimating equations; kernel estimation; sliced inverse regression
Categories
Funding
- NSERC Discovery Grants [RGPIN 2017 05720, RGPIN 2018 05846]
- National Natural Science Foundation of China [11501005]
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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.
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