Overview of Recent Developments for Interval-Censored Data - Interval-Censored-Time-to-Event Data: Methods and Applications - page 3

Chapter 1

Overview of Recent Developments

for Interval-Censored Data

Jianguo Sun and Junlong Li

Department of Statistics, University of Missouri, Columbia, Missouri USA.

1.1 Introduction :::::::::::::::::::::::::::::::::::::::::::::::::::::: 3

1.2 More Introduction :::::::::::::::::::::::::::::::::::::::::::::::: 6

1.3 Nonparametric Estimation ::::::::::::::::::::::::::::::::::::::: 8

1.4 Nonparametric Comparison of Survival Functions :::::::::::::: 12

1.5 Regression Analysis :::::::::::::::::::::::::::::::::::::::::::::: 14

1.6 Analysis of Multivariate or Clustered Interval-Censored Data :: 17

1.7 Analysis of Competing Risks Interval-Censored Data ::::::::::: 19

1.8 Other Topics and Concluding Remarks :::::::::::::::::::::::::: 20

Bibliography :::::::::::::::::::::::::::::::::::::::::::::::::::::: 22

1.1 Introduction

The literature on failure time data analysis has been growing fast and this

is especially the case in recent years for interval-censored failure time data, a

type of failure time data that often occurs in clinical trials and longitudinal

studies with periodic follow-ups, among others (Finkelstein (1986); Kalbfleisch

and Prentice (2002); Sun (2006)). In these situations, an individual due for

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