Table of Contents
Preface
Acknowledgments
1 Recurrent Events Data and Applications
1.1 Introduction
1.2 Exact Ages and Right Censoring
1.3 Exact Ages, Left Censoring, and Gaps
1.4 Interval Age Data
1.5 Continuous Histories
1.6 A Mix of Types of Events
1.7 Practical Issues
Problems
2 Population Model, MCF, and Basic Concepts
2.1 Introduction
2.2 Cumulative History Functions
2.3 Population Model and Its MCF
2.4 Information Sought
Problems
3 MCF Estimates for Exact Age Data
3.1 Introduction
3.2 MCF for Number from Exact Age Data with Right Censoring
3.3 MCF for Cost from Exact Age Data with Right Censoring
3.4 MCF from Exact Age Data with Left Censoring and Gaps
3.5 MCF from Continuous History Function Data
3.6 Practical and Theoretical Issues
Problems
4 MCF Confidence Limits for Exact Age Data
4.1 Introduction
4.2 Nelson’s Confidence Limits
4.3 Naive Confidence Limits
4.4 Assumptions and Theory
4.4.1 The MCF Estimate M* (t)
4.4.2 Variance of the Estimate and Confidence Limits
Problems
5 MCF Estimate and Limits for Interval Age Data
5.1 Introduction
5.2 MCF Estimate
5.3 Confidence Limits
Problems
6 Analysis of a Mix of Events
6.1 Introduction
6.2 Model for a Mix of Events
6.3 MCF with All Types of Events Combined
6.4 MCF for a Single Type of Event
6.5 MCF for a Group of Events
6.6 MCF with Events Eliminated
6.7 Practical and Theoretical Issues
Problems
7 Comparison of Samples
7.1 Introduction
7.2 Pointwise Comparison of MCFs
7.3 Comparison of Entire MCFs
7.4 Theory, Issues, and Extensions
Problems
8 Survey of Related Topics
8.1 Introduction
8.2 Poisson Process
8.2.1 Poisson Process Model
8.2.2 Single-Sample Analyses
8.2.3 Multisample Analyses
8.3 Nonhomogeneous Poisson Processes
8.4 Renewal Processes
8.5 Models with Covariates
8.6 Other Models
Problems
References
Index