Robust functional regression model for marginal mean and subject-specific inferences

• Published in: Statistical methods in medical research Vol. 27; no. 11; p. 3236
• Main Authors: Cao, Chunzheng, Shi, Jian Qing, Lee, Youngjo
• Format: Journal Article
• Language: English
• Published: England 01.11.2018
• Subjects: Algorithms; Biomedical Research - statistics & numerical data; Normal Distribution; Regression Analysis; dose–response; prediction interval; robust; heavy-tailed process; Bootstrap; functional data analysis; outliers; EM algorithm

We introduce flexible robust functional regression models, using various heavy-tailed processes, including a Student t-process. We propose efficient algorithms in estimating parameters for the marginal mean inferences and in predicting conditional means as well as interpolation and extrapolation for...