ABSTRACT
Department of Mathematical Sciences, State University of New York, Bing-
hamton, New York, USA
Yuting Hsu
Department of Computer and Mathematical Sciences, Pennsylvania State Uni-
versity, Harrisburg, Pennsylvania, USA
2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
2.2 Independent Interval Censorship Models . . . . . . . . . . . . . . . . . . . . . . . . 32
2.2.1 Full Likelihood . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
2.2.2 Various Models for C1 or C2 Data . . . . . . . . . . . . . . . . . . . . . . 34
2.2.3 Various Models for MIC Data . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
2.3 About Multivariate IC Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
We introduce various model for interval-censored (IC) data in this chapter.
IC data on survival time T can either be expressed as n vectors (Li, Ri) (with
endpoint Li and Ri) from the population (L,R), or n intervals Ii from the
population I. There are several types of interval-censored data.