title: Regression analysis of current status data in the presence of a cured subgroup and dependent censoring.
abstract: This paper discusses regression analysis of current status data, a type of failure time data where each study subject is observed only once, in the presence of dependent censoring. Furthermore, there may exist a cured subgroup, meaning that a proportion of study subjects are not susceptible to the failure event of interest. For the problem, we develop a sieve maximum likelihood estimation approach with the use of latent variables and Bernstein polynomials. For the determination of the proposed estimators, an EM algorithm is developed and the asymptotic properties of the estimators are established. Extensive simulation studies are conducted and indicate that the proposed method works well for practical situations. A motivating application from a tumorigenicity experiment is also provided.
authors.affiliation: Department of Mathematical Sciences, Middle Tennessee State University, Murfreesboro, TN, USA.
authors.forename: Yeqian
authors.initials: Y
authors.lastname: Liu
authors.affiliation: School of Mathematical Sciences, Capital Normal University, Beijing, China. hutaomath@foxmail.com.
authors.forename: Tao
authors.initials: T
authors.lastname: Hu
authors.affiliation: Department of Statistics, University of Missouri, Columbia, MO, USA.
authors.forename: Jianguo
authors.initials: J
authors.lastname: Sun
mesh_terms: D000465:Algorithms; D000818:Animals; D002737:Chloroprene / Q000633:toxicity; D003198:Computer Simulation; D005260:Female; D006801:Humans; D015993:Life Tables; D016013:Likelihood Functions; D008114:Liver Neoplasms, Experimental / Q000139:chemically induced; D008297:Male; D051379:Mice; D015233:Models, Statistical; D051381:Rats; D012044:Regression Analysis
chemical_list: D002737:Chloroprene
keywords: Bernstein polynomial; Cure rate model; EM algorithm; Interval censoring