ABSTRACT
Department of Statistics, University of Michigan, Ann Arbor, Michigan, USA
3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
3.2 Likelihood-Based Inference for Current Status Data . . . . . . . . . . . . 47
3.3 More General Forms of Interval-Censoring . . . . . . . . . . . . . . . . . . . . . . 58
3.4 Current Status Data with Competing Risks . . . . . . . . . . . . . . . . . . . . . 64
3.5 Smoothed Estimators for Current Status Data . . . . . . . . . . . . . . . . . . 71
3.6 Inference for Current Status Data on a Grid . . . . . . . . . . . . . . . . . . . . 77
3.7 Current Status Data with Outcome Misclassification . . . . . . . . . . . 79
3.8 Semiparametric Models and Other Work . . . . . . . . . . . . . . . . . . . . . . . . 80
Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
This chapter aims to revisit some of the important advances in the analysis
of current status data over the past decade. It is not my intention here to
be exhaustive because interest (and research) in current status has grown
46 Interval-Censored Time-to-Event Data: Methods and Applications
steadily in the recent past, and it would be difficult for me to do justice
to all the activity in this area in a chapter (of reasonable length) without
being cursory. I will concern myself primarily with some problems that are
closest to my own interests, describe some of the relevant results, and discuss
some open problems and conjectures. Before starting out, I would like to
acknowledge some of the books and reviews in this area that I have found both
enlightening and useful: the book on semiparametric information bounds and
nonparametric maximum likelihood estimation by Groeneboom and Wellner
(1992), the review by Huang and Wellner (1997), the review of current status
data by Jewell and van der Laan (2003), and last but not least, the book on
Interval-censoring by Sun (2006).
