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.