Life Table Techniques and Their Applications

This is the first volume to present a comprehensive treatment of the theory and application of life table techniques. The emphasis is placed on applications, and the theory is presented in such a way that individuals with minimal knowledge of calculus and matrix algebra can follow the argument.

Inhalt

Preface

Chapter 1 Introduction

1 The Anatomy of a Mortality Table

2 Types of Life Tables

Problems and Complements

Bibliographic Notes

Chapter 2 Mechanics of Life Table Construction

1 The Complete Life Table

2 Abridged Life Tables

Problems and Complements

Bibliographic Notes

Chapter 3 The Mathematical Basis of the Life Table

1 Mortality Patterns

2 The Abridged Life Table

3 Some Mathematical Relationships Among the Life Table Functions

4 The Life Table from the Perspective of Markov Processes

5 Heterogeneity in Mortality Experiences of Individuals

Problems and Complements

Bibliographic Notes

Chapter 4 Life Tables Based on Survey or Observational Data

1 Nature of Data

2 Mechanics

3 Different Ways of Handling Censoring Times

4 The Reduced Sample Method

5 Product-Limit Estimate of the Survival Function

6 An Example of Life Table Construction with Grouped Data

Problems and Complements

Bibliographic Notes

Chapter 5 Statistical Comparison of Life Tables

1 Some Data Features

2 Two-Sample Tests

3 k-Sample Tests

4 Post-Stratification

Problems and Complements

Bibliographic Notes

Chapter 6 Multiple-Decrement Life Tables I

1 Computation of Cause-of-Death Life Tables

2 Cause Elimination

Problems and Complements

Bibliographic Notes

Chapter 7 Multiple-Decrement Life Tables II: Analysis of Follow-up Data

1 Ungrouped Data: An Example

2 Grouped Data

3 Cumulative Probability of Failure

Problems and Complements

Bibliographic Notes

Chapter 8 Multiple-Decrement Life Tables III: General Theory

1 Some Basic Notions

2 Expected Proportion of Deaths from a Given Cause

3 The Distribution of Age at Death

4 The Probability of Eventually Dying from Cause Ca, at an Age = x

5 The Effect of a Particular Cause of Death on Mortality Pattern

6 Follow-Up Studies

Problems and Complements

Bibliographic Notes

Chapter 9 Multistate Life Tables

1 Theory

2 Applications

Problems and Complements

Bibliographic Notes

Chapter 10 Survival Distributions

1 Basic Concepts of Survival Time Distributions

2 Some Survival Distributions

3 Maximum Likelihood Estimation and Likelihood Ratio Tests

4 Censoring

Problems and Complements

Bibliographic Notes

Chapter 11 Exponential, Piece wise Exponential, and General Linear Models

1 Sampling from the Exponential Distribution

2 Piecewise Exponential

3 Application of the General Linear Model Approach

Problems and Complements

Bibliographic Notes

Chapter 12 Proportional Hazards and Related Models

1 Basic Ideas

2 Estimation and Testing Hypotheses

3 Estimation of the Survival Function

4 Data Analysis Using the Proportional Hazards Model

Problems and Complements

Bibliographic Notes

Chapter 13 Parametric Regression

1 Exponential Distribution

2 Maximum Likelihood Methods

3 Weibull Regression Models

4 Log-Normal Regression Models

5 Log-Logistic Regression Models

6 Other Fully Parameterized Regression Models

7 A General Approach

8 Model Life Tables

Bibliographic Notes

References

Author Index

Subject Index