title: Robust nonparametric estimation of monotone regression functions with interval-censored observations.
abstract: Nonparametric estimation of monotone regression functions is a classical problem of practical importance. Robust estimation of monotone regression functions in situations involving interval-censored data is a challenging yet unresolved problem. Herein, we propose a nonparametric estimation method based on the principle of isotonic regression. Using empirical process theory, we show that the proposed estimator is asymptotically consistent under a specific metric. We further conduct a simulation study to evaluate the performance of the estimator in finite sample situations. As an illustration, we use the proposed method to estimate the mean body weight functions in a group of adolescents after they reach pubertal growth spurt.
authors.affiliation: Department of Biostatistics, Indiana University Fairbanks School of Public Health and School of Medicine, Indianapolis, Indiana 46202, U.S.A.. yz73@iu.edu.|Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China. yz73@iu.edu.
authors.forename: Ying
authors.initials: Y
authors.lastname: Zhang
authors.affiliation: Biostatistics & Data Sciences Asia, Boehringer Ingelheim (China) Investment Co., Ltd., Shanghai 200040, China. gang.cheng@boehringer-ingelheim.com.
authors.forename: Gang
authors.initials: G
authors.lastname: Cheng
authors.affiliation: Department of Biostatistics, Indiana University School of Medicine and Fairbanks School of Public Health, Indianapolis, Indiana 46202, U.S.A.. wtu1@iu.edu.
authors.forename: Wanzhu
authors.initials: W
authors.lastname: Tu
mesh_terms: D000293:Adolescent; D001835:Body Weight; D002648:Child; D002675:Child, Preschool; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D005260:Female; D006801:Humans; D008297:Male; D009010:Monte Carlo Method; D011627:Puberty; D012044:Regression Analysis; D018709:Statistics, Nonparametric
keywords: Consistency; Doubly censored data; Interval-censoring; Isotonic regression; Monotone regression function