2022/05/23 by Linquan Ma, Ma, Linquan, Hyunseung Kang +3
Biochemistry, Genetics and Molecular Biology · Mathematics · #FOS: Computer and information sciences #Genetic and phenotypic traits in livestock #Methodology (stat.ME) #Molecular Biology Techniques and Applications #Statistical Methods and Inference
paper · pdf · doi:10.48550/arxiv.2205.11573
openalex publication_date 2022/05/23 · openalex created_date 2022/05/27 · openalex updated_date 2026/07/28
Recently, Su and Cook proposed a dimension reduction technique called the inner envelope which can be substantially more efficient than the original envelope or existing dimension reduction techniques for multivariate regression. However, their technique relied on a linear model with normally distributed error, which may be violated in practice. In this work, we propose a semiparametric variant of the inner envelope that does not rely on the linear model nor the normality assumption. We show that our proposal leads to globally and locally efficient estimators of the inner envelope spaces. We also present a computationally tractable algorithm to estimate the inner envelope. Our simulations and real data analysis show that our method is both robust and efficient compared to existing dimension reduction methods in a diverse array of settings.