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Recurrent Events Data Analysis (Nelson)


 
 
 Author(s)  Wayne B. Nelson
 Title  Recurrent Events Data Analysis for Product Repairs, Disease Recurrences, and Other Applications
 Edition  1st
 Year  2003
 Publisher  ASA-SIAM
 ISBN  0-89871-522-9
 Website  www.siam.org/books/sa10/
 





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

 



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